Formulas
- Probability = favorable ÷ possible outcomes.
- At least once in n tries = 1 − (1 − p)n.
- Exactly k in n = C(n, k) × pk × (1 − p)n − k.
Example
Rolling a 6 on a die is 1 in 6, or 16.67%. In 10 rolls, the chance of at least one 6 is 83.85%, and of exactly two 6s is 29.07%.
Lotteries
Matching all 5 white balls and the red ball in Powerball is 1 in 292,201,338. Enter 1 favorable and 292201338 possible outcomes to see it.
Frequently asked questions
After 5 heads, is tails more likely?
No. Each flip is independent: still 50%.
Odds vs. probability?
“1 in 4” is a probability of 25%. Odds of 1 to 3 mean the same thing.
See also
Results are estimates for information only and are not financial, legal or medical advice. Rates, taxes and fees vary — confirm with a professional or your lender.