幾何分布計算機
k回目の試行で最初の成功が起こる確率を計算します。
返済スケジュール
| # | 支払い | 元金 | 利息 | 残高 |
|---|---|---|---|---|
最初の12件を表示中（全 ヶ月。
時間経過による成長
| 年 | 投資額 | 値 |
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はじめに
Geometric Distribution Calculator — Compute the probability of the first success on trial k. Enter Success probability (p), Trial of first success (k) to get an instant, accurate result.
計算式
PMF (trials until first success): P(X=k) = (1−p)^(k−1) × p, the probability the first success occurs on the k-th trial.
ステップごとの説明
- Enter the Success probability (p).
- Enter the Trial of first success (k).
- Click Calculate to see your result instantly.
実例
Example: With Success probability (p) = 0.3, Trial of first success (k) = 4, the Geometric Distribution Calculator gives Probability: 0.1029.
よくある質問
How is this different from the binomial distribution?
Binomial counts successes in a fixed number of trials; geometric instead counts how many trials are needed to get the first success, with no fixed upper limit on trials.
What is the expected number of trials until success?
The mean of the geometric distribution is 1/p — a lower success probability p means more trials are needed on average.
What inputs does the Geometric Distribution Calculator need?
You'll need to provide: Success probability (p), Trial of first success (k). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Geometric Distribution Calculator?
The Geometric Distribution Calculator applies the formula exactly as calculated — PMF (trials until first success): P(X=k) = (1−p)^(k−1) × p, the probability the first success occurs on the k-th trial. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Geometric Distribution Calculator free to use?
Yes, the Geometric Distribution Calculator is completely free, requires no signup, and runs instantly in your browser.
幾何分布計算機について
The Geometric Distribution Calculator uses a real, verifiable formula — PMF (trials until first success): P(X=k) = (1−p)^(k−1) × p, the probability the first success occurs on the k-th trial. — so results are accurate every time, not an approximation.