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- 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.
Formel
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%).
Häufige Fragen
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.