GCSE Maths (Edexcel)

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Mutually Exclusive & Exhaustive Events

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Probability Probability

Mutually Exclusive & Exhaustive Events

7:01 Mutually Exclusive Events
Spec P4
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  • Events are exhaustive if all possible outcomes fit the criteria of at least one event
  • Events are mutually exclusive if they cannot happen at the same time
  • If events are both exhaustive and mutually exclusive, their probabilities will sum to one
  • Opposite events are both mutually exclusive and exhaustive, so their probabilities will sum to one
  • The formula for opposite events is P(not A) = 1 - P(A)
  • To find the probability of an unknown event, subtract the probabilities of known events from one
  • Example 1: Probability of Tina winning the card game is 0.45
  • Example 2: Probability of a golfer finishing on par is 0.1

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