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A and B are two events such that A and B are mutually exclusive. If P(A)=0.5 and P(B)=0.6 , then what is the value of P(A B) ?

Options

  1. A1 5
  2. B1 6
  3. C2 5
  4. D1 3

Correct answer

B. 1 6

Step-by-step solution

A and B are mutually exclusive P( A B )=0 Given, P ( A )=0.5 P( A )=1-0.5=0.5 aligned & P ( B )=0.6 P( B )=1-0.6=0.4 & P(A B)= P(A B) P(B) = 1-P( A B ) P(B) & = 1-(P( A )+P( B )) P(B) = 1-(0.5+0.4) 0.6 & = 1-0.9 0.6 = 0.1 0.6 = 1 6 aligned

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