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Probability of an intersection from the addition rule and the probability that at least one of two events fails to occur

Probability of an intersection from the addition rule and the probability that at least one of two events fails to occur

4 marks

Two events \(C\) and \(D\) satisfy \(\mathrm{P}(C)=0.45\), \(\mathrm{P}(D)=0.7\) and \(\mathrm{P}(C\cup D)=0.85\).

  1. Calculate \(\mathrm{P}(C\cap D)\).
  2. Calculate \(\mathrm{P}(C'\cup D')\).

[4]

Solution:

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Answer:(a) \(0.3\) (b) \(0.7\)

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