Probability Calculator

STATISTICS & PROBABILITY

Find a simple probability from favorable and total outcomes, with the percent, complement, and odds. Enter both counts.

Probability
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Favorable over total.

Usage Tip

Probability and odds differ: a probability of 1/6 is odds of 1 to 5, not 1 to 6.

THE MATH
probability = favorable outcomes ÷ total outcomes
complement = 1 − probability
Probability is the chance of an event, from 0 (impossible) to 1 (certain).
For equally likely outcomes it is just favorable over total.
Favorable outcomes must be between 0 and the total.
The complement is the chance the event does not happen.
Odds in favor compare favorable to unfavorable outcomes.
Practical Notes

Probability is the number of favorable outcomes divided by the total number of equally likely outcomes, giving a value from 0 to 1 that can also be written as a percent. The complement is the chance the event does not happen, found as one minus the probability. Odds compare favorable outcomes with unfavorable ones instead, so a probability of one in four corresponds to odds of one to three.

This simple formula only works when every outcome is equally likely, such as a fair die or a well shuffled deck. For events that are not equally likely, or that depend on each other, you need a different approach. Favorable outcomes can never exceed the total.

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