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Home » If A and B are two events associated with a random experiment for which P(A) = 0.60, P(A or B) = 0.85 and P(A and B) = 0.42, find P(B).
If A and B are two events associated with a random experiment for which P(A) = 0.60, P(A or B) = 0.85 and P(A and B) = 0.42, find P(B).
CBSE | Class 11 | Exercise 31B | Maths | Probability Distribution | RS Aggarwal
If A and B are two events associated with a random experiment for which P(A) = 0.60, P(A or B) = 0.85 and P(A and B) = 0.42, find P(B).

Answer : Given : P(A) = 0.60, P(A or B) = 0.85 and P(A and B) = 0.42 To find : P(B)

Formula used : P(A or B) = P(A) + P(B) – P(A and B) Substituting in the above formula we get,

0.85 = 0.60 + P(B) – 0.42

0.85 = 0.18 + P(B)

0.85 – 0.18 = P(B)

0.67 = P(B) P(B) = 0.67

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