Question

If A and B are independent events with P(A) = 0.2 , P(B) = 0.5 Find P(B/A)​

Answer 1

Answer:

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Step-by-step explanation:

If A and B are independent events then P(A∩B)=P(A)P(B)=0.2×0.5=0.1

Therefore,

(i) P(A∣B)= P(B)P(A∩B) = P(B)P(A)P(B)=P(A)=0.2

(ii) P(B∣A)= P(A)P(A∩B) = P(A)P(A)P(B) =P(B)=0.5

(iii) P(A∩B)=0.1

(iv) P(A∪B)=P(A)+P(B)−P(A∩B)=0.2+0.5−0.1=0.6