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Question: Suppose that A, B, C are events such that \(P ( A ) = P ( B ) = P ( C ) = \frac { 1 } { 4 } , P ( ...

Suppose that A, B, C are events such that

P(A)=P(B)=P(C)=14,P(AB)=P(CB)=0,P(AC)=18P ( A ) = P ( B ) = P ( C ) = \frac { 1 } { 4 } , P ( A B ) = P ( C B ) = 0 , P ( A C ) = \frac { 1 } { 8 } then P(A+B)=P ( A + B ) =

A

0.125

B

0.25

C

0.375

D

0.5

Answer

0.5

Explanation

Solution

P(A+B)=P(A)+P(B)−P(AB)P ( A + B ) = P ( A ) + P ( B ) - P ( A B )