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Probability Calculator

Calculate probability, odds, and expected value from events and outcomes.
Covers single event, multiple events, and complementary probability.

Probability Result

Basic Probability: P(event) = Favorable outcomes / Total outcomes

Odds in favor: Odds = Favorable : Unfavorable

Complementary probability: P(not A) = 1 - P(A)

Multiple independent events:

  • Both occurring: P(A and B) = P(A) × P(B)
  • Either occurring: P(A or B) = P(A) + P(B) - P(A and B)
  • At least one in n trials: P = 1 - (1 - P(A))^n

Expected Value: E = ∑ (value × probability)

For a simple bet: E = (payout × P(win)) - (cost × P(lose))

Examples:

  • Coin flip heads: 1/2 = 50%
  • Rolling a 6: 1/6 = 16.67%
  • Drawing an ace: 4/52 = 7.69%

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