Discover the Best Casino Games to Play Now and Win Big
Picture yourself at a lively table, chips in hand, as the dealer slides a card your way—that’s the heart of casino games, where chance and quick decisions meet in a single thrilling moment. Each game, from spinning roulette wheels to five-card poker hands, runs on simple rules that you can pick up in minutes, whether you play for fun or aim for a payout. The real benefit is the pure entertainment: a low-stakes blackjack hand with friends or a solo slot spin can turn an ordinary evening into a playful challenge. Just set a budget, learn one game’s basics, and dive in—the goal is to enjoy the ride, not just the win.
Decoding the House Edge: Why the Odds Tilt
The house edge is the mathematical price you pay for the privilege of playing, and it exists because the casino pays winning bets at odds slightly lower than true probability dictates. In games like roulette, the extra green zero shifts the payout ratio down, ensuring that over thousands of spins, the casino retains a fixed percentage of every wager. Your job is to decode this tilt by focusing on games with the smallest structural advantage, such as blackjack with basic strategy (around 0.5%) or baccarat’s banker bet (1.06%), while avoiding side bets that often carry a 5–10% edge. The edge is not a short-term prophecy but a long-term gravitational pull.
Understand the specific bet, not just the game, because the worst wager in a favorable game can still bleed your bankroll dry.
Always check the rules table before playing, as one rule change—like dealer hitting soft 17—can double your disadvantage, and that tilt is the only true opponent you face.
How Probability Shapes Every Spin, Shuffle, and Deal
Every spin of a roulette wheel, shuffle of a deck, or deal of a card is a discrete event governed by fixed probabilities, yet the outcome you see is merely one branch of a vast math tree. In blackjack, the removal of each card shifts the odds of drawing a ten or an ace, making the deck “hot” or “cold” in real time. Slot reels, despite their flashing graphics, land on symbols with pre-programmed weights—some combinations are statistically rarer than others. Craps dice have a 16.67% chance of rolling a seven, which is why the house leans on that number across multiple bets. Probability-driven decision making means knowing that each spin, shuffle, or deal resets the calculation—past results never alter future likelihoods. The house edge emerges directly from these per-event odds, not from any manipulation of a single round.
Probability is the silent engine behind every spin, shuffle, and deal—each outcome is a predictable risk within an unpredictable instant, and the house edge is simply the cumulative weight of those mathematical certainties.
The Psychology of Near-Misses and Reward Cycles
Near-misses—like a slot reel stopping one symbol short—hijack the brain’s reward circuitry, firing dopamine almost as intensely as a win, which fuels the illusion of skill and keeps you spinning. This is the core of near-miss reward cycle psychology: your brain interprets “almost” as “next time,” intensifying motivation precisely because the outcome feels within grasp. Casinos engineer these events to sustain engagement, turning frustration into anticipation. Variable reward schedules, where wins arrive unpredictably, compound this effect, making each loss feel like a stepping stone. To counter this, recognize that a near-miss holds no predictive value—it’s a random snapshot, not a signal.
- Near-misses trigger dopamine release similar to actual wins, reinforcing persistent play.
- Variable reward schedules create a “just one more” loop, exploiting uncertainty for engagement.
- Perceived control rises after near-misses, even in pure chance games like slots or roulette.
- Pausing after a near-miss—not immediately replaying—disrupts the automatic reward chase.
RTP Percentages: What They Actually Mean for Your Bankroll
RTP percentages tell you how much of every dollar wagered a game returns over a massive sample, not what you’ll pocket tonight. A 96% slot doesn’t guarantee $96 back from $100—it’s an average across millions of spins. For your bankroll, that number helps you compare games: a 98% blackjack variant bleeds slower than a 94% machine, so your session funds last longer. But it’s not a timing tool; short-term variance can bury you regardless. Use RTP to pick games that stretch your bankroll, and treat it as a long-term compass, not a per-session prophecy. RTP percentages directly shape your bankroll’s longevity by revealing which games grind you down slowest.
RTP is a long-term average that helps you choose games where your bankroll lasts longer, but it never predicts single-session results.
Mastering Table Classics: Strategy Beyond Luck
You slide up to the felt, and the dealer’s eyes meet yours—this is where *Mastering Table Classics: Strategy Beyond Luck* changes everything. Instead of chasing a hot streak, you recall that blackjack isn’t about guessing but about disciplined card counting and basic strategy charts, which shift the house edge into a whisper. You watch a craps player who ignores superstition, instead placing pass-line odds because the math favors patience. The guide teaches you when to hold in poker, when to fold in baccarat, and how to read table rhythm without ever relying on a hunch. *Question: Does this approach guarantee wins? Answer: No—it turns random sessions into calculated decisions, so losses shrink and wins feel earned.* Every chip you place now carries intent, not hope, and that’s the real mastery.
Blackjack’s Basic Strategy: When to Hit, Stand, or Double
Blackjack’s basic strategy removes guesswork by mapping your hand against the dealer’s upcard. Hit whenever your total is 8 or less, or when you hold a soft 12–16 against a dealer’s 7 or higher. Stand on hard 17 or above, and always stand on a soft 19 or 20. Double down only when you have a total of 10 or 11 and the dealer shows a 4 through 6, or with a soft 16–18 against a dealer’s 5 or 6. Never double on a hard 12 or higher. This rule set exploits the dealer’s bust probability, shrinking the house edge to under 0.5% with perfect execution. Hit/stand thresholds shift slightly for pairs, but these core moves cover most hands.
Roulette Betting Systems That Survive Contact with Reality
Roulette betting systems that survive contact with reality rarely promise profit; instead, they manage volatility and impose structure on session play. The Martingale’s exponential stakes collapse against table limits and bankroll depth, so a survivable flat-betting framework often outperforms it in endurance. The D’Alembert, with its incremental unit adjustments, offers gentler recovery but still assumes a closed probability model that the wheel does not honor. A practical approach treats any system as a bankroll pacing tool, not an edge generator—set a win goal, cap losses at two units above the session floor, and quit when either triggers. Systems only survive when their risk-to-reward ratios fit the table’s minimums and your actual cash, not theoretical streaks.
Baccarat Patterns: Reading the Shoe Without Falling for Fallacies
Tracking Baccarat patterns from the shoe—such as streaks, chops, or doubles—offers a visual narrative of past outcomes, yet these sequences possess no predictive power over future draws. Players often mistake a cluster of Player wins for a “trend,” but each hand remains statistically independent in a shuffled shoe. The practical skill lies in recognizing this randomness while using pattern charts purely for bet sizing or flat-betting discipline, never for escalating wagers based on a perceived “hot” or “cold” banker run. Reading the shoe is about managing your emotional response to variance, not decoding hidden signals. The most reliable pattern is the house edge itself, which favors Banker at roughly 1.06% commission. Therefore, treat any visible streak as a historical record—useful for pacing your session bankroll, but not for predicting the next card. Fallacy-free shoe reading means respecting that no visual sequence alters the 50/50-ish odds per hand. Track outcomes to adjust your stake size within a fixed strategy—like alternating after three consecutive results—but never increase bets proportionally to a perceived pattern’s length. The shoe only reveals what already happened, not what will.
Slot Mechanics and Volatility: Choosing Your Adventure
Slot volatility dictates the rhythm of your bankroll, while mechanics define how wins materialize. Low-volatility games pay frequently but in modest sums, perfect for extending play, whereas high-volatility slots offer massive payouts through rare, explosive spins—your choice hinges on risk tolerance. Cluster pays and Megaways mechanics create cascading reels and thousands of ways to win, directly altering hit frequency versus classic paylines. For an adventure, pair medium volatility with a buy-bonus feature to control when you enter the high-risk round. Your strategic match is a game whose volatility mirrors your patience and whose mechanics reward your preferred spin style. Q: Should you choose a high-volatility slot with 10,000 ways or a low-volatility three-reel classic? A: Pick the high-volatility game if you can withstand dry streaks for jackpot potential; otherwise, the classic will keep you engaged longer.
High-Variance vs. Low-Variance: Matching Reels to Your Temperament
Your temperament dictates which volatility profile suits you. High-variance reels deliver sparse but substantial payouts, demanding patience and a bankroll that absorbs long dry spells; they reward risk-tolerant players seeking life-changing spins rather than frequent validation. Conversely, low-variance reels produce steady, small wins that extend playtime, ideal for cautious players who prioritize entertainment over jackpot chasing. To match correctly, assess your emotional response to losing streaks: if anxiety spikes during ten dead spins, choose low volatility; if boredom kills your focus during predictable wins, embrace high volatility. Bankroll pacing also matters—high variance requires larger per-session reserves, while low variance suits smaller, frequent deposits.
- List your loss tolerance
- Calculate session length goals
- Pick a slot within that variance range
This alignment prevents frustration and keeps gameplay sustainable.
Progressive Jackpots: The Allure of the Life-Changing Spin
Progressive Jackpots: The Allure of the Life-Changing Spin lies in a prize pool that grows with every wager placed across a networked group of machines. Unlike fixed jackpots, a small percentage of each bet feeds the shared pot, which can reach millions before someone hits the winning combination. This creates a distinct volatility profile: the base game often pays out less frequently to fund the massive top prize, meaning your bankroll depletes faster in exchange for a rare, colossal payout. To play effectively, follow these steps: check the current jackpot amount before spinning, as the odds of winning remain constant but the expected value improves with a higher pool. Then, verify if the progressive requires maximum bets to qualify, and finally, set a strict loss limit since chasing a life-changing spin quickly erodes smaller stakes.
Bonus Rounds and Free Spins: How Triggers Actually Work
Bonus rounds and free spins usually trigger in one of three ways: a specific scatter symbol landing anywhere on the reels, three or more matching bonus icons appearing on an active payline, or a random in-game event that fires mid-spin. The key is that trigger frequency directly ties to the game’s volatility—low-vol slots drop bonuses often but with smaller rewards, while high-vol games tease you with dry streaks before a massive payout cascade. Free spins often include multipliers or expanding wilds, but the trigger threshold (e.g., three scatters vs. five) is the real lever. Always check the paytable before spinning—some games require bonus symbols on adjacent reels only, which changes your odds drastically.
- Scatter-based triggers work anywhere on the grid, while payline-dependent ones need exact positions.
- Retriggers during free spins usually reset your spin count, but some slots cap retriggers at a fixed number.
- Buying a bonus feature (if offered) costs a set multiple of your bet—often 80x–100x—but skips the wait.
- Multiplier values during free spins are locked at trigger time, so a low base bet with high multiplier can out-earn a high base bet with no multiplier.
Poker Rooms and Bluffing Dynamics
In a casino poker room, bluffing is not mere deception; it is a calculated economic transaction. The dynamics shift radically from home games because the rake and time charges force a higher frequency of real hands, making every successful bluff a direct extraction from opponents’ stacks rather than from casual fun. Your table image is the primary currency—a tight player’s rare bluff is far more potent than a loose player’s constant aggression. You must read not just cards, but the physical and behavioral tells amplified by casino lighting and dealer rhythm.
The key insight is that a profitable bluff targets a specific opponent’s folding threshold, not the community cards.
Therefore, you leverage position, bet sizing that mimics value, and consistent timing. In a live room, your story must align with the board texture and your earlier actions, or astute regulars will instantly call you down. Master the art of the semi-bluff with draws to keep pressure without pure risk.
Position Play: Why Seating Order Dictates Aggression
In poker, your seat relative to the dealer—your positional leverage—is the primary trigger for aggression. Early positions (under the gun) force you to act with minimal information, so aggression here is reckless unless you hold premium hands. Conversely, late positions (cutoff and button) let you observe every opponent’s check or bet before deciding, enabling you to raise with a wider range and steal blinds. The sequence is simple: first, assess how many players remain to act after you. Second, if that number is high, tighten your raising range. Third, if you are last or near-last, weaponize your information advantage by raising or re-raising to pressure limpers, forcing folds from medium-strength hands that cannot call out of position. Seating order thus dictates not just whether you bet, but *how often* and *with what*—the aggression curve rises linearly as you approach the button.
Reading Tells in Live Play vs. Online Timing Patterns
In live poker, physical tells—micro-expressions, breathing shifts, or hand tremors—are involuntary leaks, but online, these vanish, forcing you to rely on timing-based behavioral reads instead. A rapid check-raise in a live game often signals confidence, whereas online, a quick call indicates a pre-planned decision, while a 15-second delay before a river bet typically represents deliberation over a marginal hand. Conversely, instantaneous all-ins online frequently stem from auto-clicking with nutted holdings, a pattern absent live where players physically hesitate before committing chips. You must also account for multi-tabling, as delayed responses may simply reflect action on another table, not weakness. Live play allows you to gauge opponent anxiety through posture; online, only the duration between actions and the size of the bet relative to that pause provide reliable data. These distinct mediums demand separate observational frameworks.
Live tells rely on physical leakage; online, timing patterns replace them—so read the pause, not the person.
Bankroll Management for Cash Games and Tournaments
In casino poker rooms, managing your bankroll for cash games versus tournaments needs two different mindsets. For cash games, always buy in with only 5% of your total roll, as chips represent real money you can walk away from anytime—so never rebuy more than twice in a losing session. Tournaments, though, are steeper variance, so you should cap entries at 2% of your roll per event, since you’re paying for a shot at a top-heavy payout. A solid sequence:
- Set a monthly loss limit (e.g., 20% of your roll) and stop playing once hit.
- Drop stakes if you lose 10 buy-ins at your current level.
- Move up only after booking 20+ winning sessions.
This way, you’ll survive bad beats and keep bluffing ranges honest at the tables.
The Rise of Live Dealer Experiences
Late at night, the familiar click of cards replaced the cold randomness of a computer screen. Live dealer experiences transformed casino games into human moments, where a real croupier’s smile or a theatrical shuffle bridges the digital gap. You watch the dealer pause, glance at the roulette wheel, and call the number—your pulse syncs with the studio’s rhythm. Why choose live over digital? Because you can read the dealer’s micro-expressions, hear the chips stack, and feel the table’s collective breath through chat. The best part: you ask, “Is the deck shuffled live?” and the dealer answers mid-game, turning a solitary bet into shared suspense. This isn’t simulation; it’s theatre you control from your couch, where every spin or hand feels like a secret whispered just for you.
Streaming Technology and the Feel of a Real Felt
Streaming technology bridges the digital gap by delivering high-frame-rate video that renders the tactile grain of a real felt table with startling clarity. The subtle shuffle of cards and the dealer’s hand movements arrive with minimal latency, preserving the natural rhythm of play, so you feel the physical proximity of the action. Optical zoom and multi-angle cameras recreate the sensation of leaning over the cloth, while haptic feedback on mobile devices mimics the vibration of chip stacks. For a convincing session, low-latency streaming with real-felt texture mapping is what separates a flat feed from an immersive table. Real-felt immersion relies on consistent lighting and 60fps capture.
- Reduced delay ensures your bet timing matches the dealer’s real-world motion.
- Close-up camera paths simulate your own viewpoint over the felt surface.
- High-bitrate codecs preserve cloth shading and card edge details.
Interaction Etiquette: Chat, Tipping, and Table Vibes
Live dealer tables thrive on interaction etiquette that elevates the game beyond mere cards. Chat wisely: greet the dealer, use their name, and avoid spamming emojis or slowing the round with off-topic rants. Tipping, when done via the interface, acknowledges good service—chip amounts are play online pokies for real money discreet, but a simple “thanks” in chat amplifies goodwill. Table vibes depend on reading the room: match the energy if players banter, but go quiet during high-stakes hands. Never critique another player’s bet or strategy, as that kills the collective buzz faster than a bad shuffle. Keep compliments short, questions relevant, and humor light—your dealer controls the pace, so follow their lead. Here’s the quick code:
- Tip after a win, not during a losing streak
- Use the dedicated chat buttons for quick reactions
- Acknowledge dealer milestones (deals, side bets, celebrations)
- Apologize quickly if your connection drops mid-hand
Game Show Variations: Where Entertainment Meets Wagering
Game show variations transform standard casino wagering into a high-energy, interactive spectacle. Instead of simply placing bets on a card or wheel, you now answer trivia, pick hidden boxes, or spin a giant wheel while a charismatic host drives the action. These games blend pure chance with skill-based choices, letting you influence outcomes through quick decisions. Every round feels like a live broadcast, with instant multipliers and bonus rounds triggered by your participation. You are not just a spectator; you become the contestant, staking money on every spin or reveal. This fusion of entertainment and betting keeps engagement razor-sharp, making each wager feel like a thrilling performance rather than a passive gamble.
Bankroll Building: Staking Plans That Keep You in the Game
A solid bankroll building strategy hinges on staking plans that flex with your session, not against it. For casino games, flat betting a fixed percentage—say 1-2% of your total funds—keeps variance from wiping you out during cold streaks. Alternatively, a percentage-based plan, where your stake grows or shrinks with your balance, actively protects your capital after losses and compounds wins during hot runs. Avoid the Martingale trap; doubling up after every loss can bankrupt you fast. Instead, set a hard stop-loss for the day and a win goal that triggers a cash-out. This disciplined approach ensures you survive the inevitable swings, keeping you at the tables longer and giving skill-based games like blackjack or video poker a real chance to pay off.
Flat Betting, Martingale, and Fibonacci: Pros and Cons
Flat betting keeps your bankroll safe and stress-free, but it rarely turns small wins into big ones—you’ll grind slowly. Martingale doubles after losses, so one hot streak recovers everything fast, yet a few bad rounds can wipe you out completely. Fibonacci softens the blow by increasing bets gradually, but it still climbs dangerously during long losing streaks and requires a hefty reserve. The sweet spot? Use flat betting for most sessions, then switch to Fibonacci only when you’re ahead. Martingale is a last-resort thrill, not a steady plan. Pick based on your risk appetite, not desperation.
Session Limits and Loss Caps: Discipline as a Superpower
Setting a session loss cap before you spin is the single most effective discipline tool in bankroll building. Decide the exact amount you will lose before walking away—typically 20–30% of your session stake—and treat it as a hard rule, not a suggestion. Time limits work alongside this: cap play at 60–90 minutes to prevent fatigue-driven decisions. When you hit either threshold, you stop immediately, preserving capital for future sessions. Loss caps transform losing streaks into manageable costs, not catastrophic meltdowns. They turn discipline into a superpower by removing emotional override during tilt. Why do loss caps outperform occasional big wins? Because consistent, small controlled losses keep your bankroll alive long enough to encounter variance in your favor.
Tracking Wins and Losses Without Obsessing Over Every Hand
Tracking wins and losses effectively means focusing on session-level outcomes rather than dissecting each hand, as hand-by-hand analysis breeds emotional fatigue and erratic betting. Instead, log your total bankroll before and after each session, along with the staking plan used, to identify macro trends in your performance. This approach highlights whether your staked percentage alignment is sustainable over time, not whether a single bluff failed. Reviewing only session totals prevents tilt-driven adjustments and preserves your staking plan’s integrity. If you record every hand, you risk overcorrecting for variance, which destroys long-term bankroll growth. A simple nightly tally—win or loss—and a weekly average gives you actionable data without the mental clutter. This separation between journaling and play keeps your decisions deliberate, and your bankroll trajectory visible, without turning every deal into a referendum on your skill.
Mobile Play and the Convenience Factor
Mobile play is the ultimate convenience hack for casino games, letting you grab a few spins on a slot while waiting for coffee or check a blackjack hand from your couch. The factor that sells it is frictionless access—no downloading bulky software, no sitting at a desktop, just tap and bet. Your game state syncs across devices, so you can start a poker round on your phone, then finish on a tablet without missing a beat. The real win is time-slicing: five minutes on a bus becomes a quick baccarat session, and you can cash out instantly via mobile wallet. Is it as immersive as a full rig? No, but the trade-off is worth it when you can play pajama-clad at 2 AM. That’s the sweet spot—instant log-in, zero setup, and gameplay that respects your schedule. For casual players, convenience beats everything else.
Touchscreen Interfaces: Swipe, Tap, and Bet Anywhere
Touchscreen interfaces transform casino gaming into a fluid, gesture-driven experience. A quick swipe to bet anywhere replaces clumsy button presses, letting you adjust wager sizes or spin reels with a single finger motion. Tap-to-select poker cards or blackjack actions feels instantaneous, while pinch-to-zoom on live dealer tables brings the action closer without leaving your seat. The screen’s responsiveness means every haptic tap confirms your command, reducing misclicks even during fast-paced rounds. For a clear sequence, follow this flow: first, tap the game icon; second, swipe to set your stake; third, tap spin or deal; finally, swipe to collect winnings. This tactile immediacy makes mobile betting feel innate, not technical, so you can wager from a couch or queue without losing rhythm.
App-Exclusive Bonuses Versus Desktop Promotions
When you play casino games on your phone, app-exclusive bonuses versus desktop promotions often tip the scale toward mobile. Apps typically reward you with no-deposit free spins or match boosts simply for logging in daily, while desktop versions reserve those perks for loyalty-tier upgrades. The sequence is straightforward: download the app, verify your account, then claim the one-tap bonus that appears on your home screen. Desktop promotions, by contrast, usually require promo codes or live chat requests, adding friction. If you want faster cashouts tied to wagering requirements, app offers frequently carry lower playthrough multipliers. Choosing the app means you get more frequent, smaller rewards instead of waiting for a desktop email blast—practical for casual sessions.
Connectivity Risks: When an Unstable Signal Costs You
An unstable signal transforms a casual mobile casino session into a liability. During a live dealer hand or a spinning slot, a dropped connection can freeze the game mid-action, causing you to miss a critical decision or lose your place in the betting sequence. The reconnection delay often results in a forced timeout, where the system auto-plays your hand or forfeits your wager entirely. Even a brief stutter, like a 500ms lag, can blur the outcome of a fast-paced round, leaving you unsure if your bet registered. This creates a persistent uncertainty where connectivity risks directly impact your bankroll, not just your convenience. To protect your balance, you must treat every session as vulnerable to interruption, not as a seamless experience.
An unstable signal turns every wager into a gamble on your connection, where a single drop can cost you the round, the bet, or the entire hand.
Responsible Wagering: Setting the Guardrails
Responsible Wagering: Setting the Guardrails means deciding *before* you spin or deal exactly what you’re willing to lose, then treating that number as a hard, non-negotiable ceiling. For casino games, this converts every session from a financial gamble into a controlled entertainment expense. Guardrails transform impulse into intention, so you pre-commit time and money limits that the game’s speed and flashing lights can’t erode.
The most powerful guardrail is a stop-loss trigger you honor instantly, not after “one more round.”
Use loss limits and session timers as your external brakes, and never chase a bet that breaches your line. When you set these rails, every outcome—win or loss—stays within your chosen framework, keeping the game’s thrill separate from your bankroll’s safety.
Recognizing the Fine Line Between Fun and Compulsion
The distinction between recreational play and problematic behavior hinges on your emotional state during and after a session. Compulsive wagering triggers a loss of time awareness and a chaser mentality, where you immediately re-bet to recover losses. Watch for internal cues: irritation when interrupted, or a rising heart rate during spins. A practical guardrail is the “two-loss rule”—after two consecutive losses, you step away for 24 hours. Additionally, pre-commit to a session timer and a financial cap, then physically switch devices when either triggers. If you find yourself hiding play from others or rationalizing another bet, that is your clear signal to stop and reassess your motives.
Self-Exclusion Tools and Reality Checks That Actually Work
The most effective self-exclusion tools and reality checks that actually work begin with pre-commitment limits, not reactive ones. In casino games, set a hard loss cap before you open a session—many platforms allow you to lock this for 24 hours, preventing impulsive increases. Reality checks that genuinely function trigger every 15 or 30 minutes, overlaying a timer and a summary of your net wins or losses; dismiss them only after actively reading the data. *A tool only works if you pair it with a delayed-action rule, like waiting 10 minutes before re-entering a game after a check pop-up.* For stronger measures, opt for multi-venue exclusion that spans several casinos at once, which blocks the common loophole of switching sites mid-session. Test your chosen tool on a low-stakes game first to ensure the prompts are intrusive enough to interrupt your flow.
How to Talk About Losses Without Shame or Denial
Discussing casino losses begins with stating the exact figure aloud, stripping away vague phrases like “a bit” that fuel secrecy. Use plain, factual language with a trusted friend or partner, framing the amount as data from a session, not a verdict on your character. Resist the urge to immediately justify the loss with a near-win story; instead, pause and acknowledge the outcome without editorializing. This directness dismantles shame, because silence thrives on ambiguity. When you name the number, you reclaim control and turn a private sting into a manageable fact. That honesty is the foundation of loss accountability without self-judgment, letting you move forward with clarity instead of defensiveness.
What Makes Modern Gambling Platforms Different From Traditional Casinos
Key Features That Define the Current Gaming Experience
How Live Dealer Options Bridge the Gap Between Online and Physical Venues
Understanding RNG and Fair Play in Digital Environments
How to Select the Right Gambling Entertainment for Your Preferences
Matching Game Volatility to Your Personal Risk Tolerance
