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
計算結果
確率一覧(1〜20回)
| 試行回数 | 確率 | パーセンテージ |
|---|
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。
Quick Reference: Common Streak Probabilities
"What are the odds of hitting 75% five times in a row?" — about 23.7%. "Missing a 1% hit 100 times in a row?" — about 36.6%. "Getting at least one hit in those 100 tries?" — about 63.4%. Common combinations are listed below; enter other values in the calculator above.
Probability of winning N times in a row (p^n)
| Single odds | 2 in a row | 3 in a row | 5 in a row | 10 in a row |
|---|---|---|---|---|
| 10% | 1% | 0.1% | 0.001% | ≈0% |
| 25% | 6.25% | 1.56% | 0.098% | ≈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% |
Probability of missing N times in a row ((1-p)^n)
| Single win odds | 2 misses | 3 misses | 5 misses | 10 misses |
|---|---|---|---|---|
| 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% |
Probability of at least one hit in N tries (gacha / lottery)
| Drop rate | 10 tries | 30 tries | 50 tries | 100 tries | 300 tries |
|---|---|---|---|---|---|
| 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% | ≈100% |
| 10% | 65.1% | 95.8% | 99.5% | ≈100% | ≈100% |
* With a 1% drop rate, going 100 pulls with zero hits happens about 36.6% of the time. N tries never guarantees a win.
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
- Enter the single-win probability (%) using the input field or preset buttons
- Enter the number of trials (whole numbers only)
- 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
- 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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