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Probability Calculator

Combined probabilities of two independent events.

P(A and B)0.220%
P(A or B)
0.7
P(not A)
0.5
P(not B)
0.6
P(exactly one)
0.5
P(neither)
0.3
A and B: 0.2A and BA or B: 0.7A or BExactly one: 0.5Exactly oneNeither: 0.3Neither
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How this calculator works

Enter each probability as a number between 0 and 1. For independent events, the probability of both is the product of the two.

Formula

P(A ∩ B) = P(A)·P(B); P(A ∪ B) = P(A) + P(B) − P(A)·P(B)

Example

With P(A) = 0.5 and P(B) = 0.4, both happen with probability 0.2 and at least one with 0.7.

When to use it

  • Games of chance
  • Reliability of two-part systems
  • Statistics coursework
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Frequently asked questions

What are independent events?

Events where one happening does not change the chance of the other, such as two separate coin flips.

How do I convert odds to probability?

For odds of a to b in favor, the probability is a ÷ (a + b). Odds of 1 to 3 give a probability of 0.25.

Learn more

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