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Chapter 13: Q. 49 (page 866)

If P(A)=0.60,P(A∪B)=0.85andP(A∩B)=0.05,findP(B)

Short Answer

Expert verified

The probability is0.30

Step by step solution

01

Step 1. Given Information  

The given data isP(A)=0.60,P(A∪B)=0.85andP(A∩B)=0.05

02

Step 2. Calculation

Substitute the values in the formula to find the required value,

P(A∪B)=P(A)+P(B)-P(A∩B)0.85=0.60+P(B)-0.050.85-0.55=P(B)P(B)=0.30

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