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Consecutive Win & Miss Probability

Calculate consecutive wins, misses, and at-least-one odds instantly

当選確率と試行回数を入力

よく検索される連続確率の早見表

「75%を5回連続で引く確率は?」→ 約23.7%。「当選確率1%を100回連続で外す確率は?」→ 約36.6%。「100回中に1回以上当たる確率は?」→ 約63.4%。よく使われる組み合わせを一覧にしました。表にない数値は上の計算機に入力してください。

N回連続で全部当たる確率(p^n)

1回の確率 2回連続 3回連続 5回連続 10回連続
10%1%0.1%0.001%ほぼ0%
25%6.25%1.56%0.098%ほぼ0%
50%25%12.5%3.13%0.098%
75%56.3%42.2%23.7%5.63%
90%81%72.9%59%34.9%

N回連続で外す確率((1-p)^n)

1回の当選確率 2回連続 3回連続 5回連続 10回連続
1%98.01%97.03%95.1%90.4%
5%90.25%85.74%77.38%59.87%
10%81%72.9%59.05%34.87%
30%49%34.3%16.81%2.82%
50%25%12.5%3.13%0.098%

N回中に1回以上当たる確率(ガチャ・抽選)

排出率 10回 30回 50回 100回 300回
0.5%4.89%14%22.2%39.4%77.8%
1%9.56%26%39.5%63.4%95.1%
3%26.3%59.9%78.2%95.2%99.99%
5%40.1%78.5%92.3%99.4%ほぼ100%
10%65.1%95.8%99.5%ほぼ100%ほぼ100%

※ 「100回引いても当たらない」は排出率1%なら約36.6%の確率で起こります。ガチャの「N回で必ず当たる」わけではない点にご注意ください。

About Consecutive Win & Miss Probability

The Consecutive Win & Miss Probability Calculator computes repeated-trial probabilities from a single win rate and number of trials. It features three calculation modes, plus quick-reference tables for common combinations such as "75% five times in a row (about 23.7%)," "missing a 1% hit 100 times in a row (about 36.6%)," and "at least one hit in those 100 pulls (about 63.4%)."

Mode 1: All Wins Probability (p^n) — Calculates the probability of winning in all consecutive trials. For example, with a 50% win rate, the probability of winning 3 times in a row is 12.5%, declining exponentially. Useful for analyzing gacha reroll success rates, game winning streaks, and consecutive luck predictions.

Mode 2: All Misses Probability ((1-p)^n) — Calculates the probability of missing every one of N consecutive trials. For example, missing a 1% gacha hit 100 times in a row has a probability of about 36.6%. Use it for gacha droughts, lottery misses, and game losing streaks.

Mode 3: At Least Once Probability (1-(1-p)^n) — Calculates the probability of "at least one win" in N trials. For instance, with a 1% gacha rate, pulling 100 times yields approximately 63.4% chance of getting the target character. This intuitive calculation applies to gacha simulations, lottery odds analysis, and gambling probability forecasting.

Common Use Cases: - Game gacha simulation (estimate spending needed to guarantee a character) - Consecutive misses in gacha pulls, lotteries, and repeated draws - Lottery and sweepstakes probability analysis - Gambling outcome prediction and bankroll planning - Probability and statistics education

Features: - Real-time calculation with instant result updates - Three modes for all wins, all misses, and at least one win - Preset buttons for common gacha rates (1%, 3%, 5%, 10%, 30%, 50%) - Automatic probability table for 1-20 trials with bar graph visualization - Approximate rate display (e.g., "about 1/2") for intuitive understanding - Browser-only processing ensures complete privacy — no server transmission

How to use Consecutive Win & Miss Probability

  1. Enter the single-win probability (%) using the input field or preset buttons
  2. Enter the number of trials (whole numbers only)
  3. Select your calculation mode: 'All Win (p^n)' for consecutive success, 'All Miss ((1-p)^n)' for consecutive misses, or 'At Least Once' for at least one success
  4. View real-time results with a comprehensive 1-20 trial probability table showing the probability progression

Benefits of Consecutive Win & Miss Probability

  • Three calculation modes (All Win / All Miss / At Least Once) for diverse probability scenarios
  • Preset buttons (1%, 3%, 5%, 10%, 30%, 50%) for instant common gacha rate input
  • Visual probability table (1-20 trials) with bar graphs for easy understanding
  • Intuitive approximation display (e.g., 'about 1/100') for quick comprehension
  • Real-time computation with instant updates to any input change
  • Browser-only processing ensures privacy with zero server data transmission

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