以下のガイドはまだ日本語に翻訳されていないため、英語で表示しています。計算機自体はすべて日本語に対応しています。
この計算機の使い方
- Choose two events or repeated trials.
- Enter probabilities as decimals between 0 and 1 (for example 0.25 for 25%).
- For repeated trials, enter the number of trials and the number of successes you're interested in.
計算式
For independent events, the probability that both happen is the product of their probabilities. Repeated trials follow the binomial distribution.
P(A and B) = P(A) × P(B)
P(A or B) = P(A) + P(B) − P(A)P(B)
P(X = k) = C(n, k) p^k (1 − p)^(n − k)
P(at least once) = 1 − (1 − p)^n
Example
- P(A) = 0.5, P(B) = 0.4.
- Both: 0.5 × 0.4 = 0.2 (20%). Either: 0.5 + 0.4 − 0.2 = 0.7 (70%).
- Neither: 0.5 × 0.6 = 0.3 (30%).
よくある質問
What are independent events?
Events where one happening doesn't change the probability of the other, such as two separate coin flips. Drawing cards without replacement is not independent.
Why isn't the chance of rolling a six in six rolls 100%?
Each roll is independent. The chance of at least one six is 1 − (5/6)^6 ≈ 66.5%.
How do I convert odds to probability?
Odds of a:b in favour equal a probability of a / (a + b). For example, 3:1 odds = 3/4 = 0.75.