Question

Let P(A) = 0.6 and P(B)=0.4 and P(BNC)=0.3 Is it possible that A and C are...

Let P(A) = 0.6 and P(B)=0.4 and P(BNC)=0.3 Is it possible that A and C are mutually exclusive if they are independent?

Yes

No

*please explain

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given : P(A)=0.6, P(B)=0.4, P(B C) = 0.3

Answer- NO

Explanation-

P(B C) = 0.3 P(C) >0

Note: Mutually exclusive events- If A and C are Mutually exclusive events evets with P(A)=0.3>0, P(C)>0, then

.

If A and C are independent events with P(A)=0.3>0, P(C)>0, then,

P(A C)= P(A) P(C) 0.

A and C are not Mutually exclusive (disjoint) events.

Hence, two independent events(both events possible) cannot be mutually exclusive.

It is only possible if one of the events not exist or is null.

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