Question

Exercise

1. If P(A and B)= 0.23 are A and mutually exclusive? Justify your answer.

2. If P(C or D)=0.67 are C and D collectivelly exhaustive? Justify your answer.

Answer 1

1) given P(A and B)=0.23

if two events are said to mutually exclusive if and only P(A and B) = 0

but in this case it is 0.23 so, A and B are not mutually exclusive

2) given P(C or D) = 0.67

if two events are said to collectivelly exhaustive if and only P(C or D) = S

in our case sample space s =1

so in our case it is 0.67 so , C and D are not collectivelly exhaustive

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