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Probability Calculator.

Single Probability Calculator

Formulas:

  • Probability of event A occurring P(A) = n(A) / n(S).
  • Probability of event A not occurring P(A') = 1 - P(A).
Number of possible outcomes
Number of events occured


Probability of event that occurs P(A)
Probability of event that does not occurs P(A')

Multiple Event Probability Calculator

Formulas:

  • Probability of event A occurring P(A) = n(A) / n(S).
  • Probability of event A not occurring P(A') = 1 - P(A).
  • Probability of event B occurring P(B) = n(B) / n(S).
  • Probability of event B not occurring P(B') = 1 - P(B).
  • Probability of both events occurring P(A ∩ B) = P(A) x P(B).
  • Probability of either events occurring P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
  • Conditional Probability P(A | B) = P(A ∩ B) / P(B).
Number of possible outcomes
Number of event occurs in A
Number of event occurs in B
Note: A & B are mutually exclusive events


P(A) P(A')
P(B) P(B' )
P(A ∩ B) P(A ∪ B)
P(A | B)

Example Multiple Probability Calculation

Find multiple event probabilitiy, given n(s) = 50, n(A) = 10 and n(B) = 5

  • P(A) = 10/50 = 0.2
  • P(A') = 1-0.2 = 0.8
  • P(B) = 5/50 = 0.1
  • P(B') = 1-0.1 = 0.9
  • P(A ∩ B) = 0.2 *0.1 = 0.02
  • P(A ∪ B) = ( 0.2 + 0.1 ) - 0.02 = 0.28
  • P(A | B) = 0.02 / 0.1 = 0.2

Probability Cartoons

Cartoon About Probabililty.

Probability Cartoon.