Deciding from probability conditions whether two events are mutually exclusive, independent or neither
Deciding from probability conditions whether two events are mutually exclusive, independent or neither
6 marks
Two events \(C\) and \(D\) each have a probability strictly between \(0\) and \(1\). For each of the following conditions, state which one of these descriptions applies to \(C\) and \(D\): mutually exclusive \((M)\), independent \((I)\), neither \((N)\).
- \(P(C\cup D)=P(C)+P(D)\)
- \(P(C\cap D')=P(C)\,P(D')\)
- \(P(C\mid D)=1\)
[6]
Solution:
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Answer:(a) \(M\) (b) \(I\) (c) \(N\)
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