Use independence to calculate an event probability and a union.

Use independence to calculate an event probability and a union.

6 marks
ProbabilityQuestionBank.pdf

Events \(E\) and \(F\) are independent, with \(P(E)=\frac23\) and \(P(E\cap F)=\frac13\). Calculate:

  1. \(P(F)\);
  2. \(P(E ∪ F)\).

[6]

Solution:

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Answer:\(P(E\cup F)=\frac23+\frac12-\frac13=\frac56\).

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