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If P(A)=0.5, P(B)=0.7 and P(A B)=0 3 , then what is the value of P (A^ B^ )+P (A^ B )+P (A B^ ) ?

Options

  1. A0.6
  2. B0.7
  3. C0.8
  4. D0.9

Correct answer

B. 0.7

Step-by-step solution

aligned & P(A B)=P(A)+P(B)-P(A B) & =0.5+0.7-0.3=0.9 & P (A^ B^ )+P(A B)+P (A B^ ) & =1-P(A B)+P(B)-P(A B)+P(A)-P(A B) & =1-P(A B)=1-0.3=0.7 aligned

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