Question

Two events A and B are such that P(A) = 0.6, P(B) = 0.2 and P(B A) = 0.22. Calculate

probability that:
i) Both of the events occur, P(A n B)
ii) Either A or B or both occur, P(AUB)
(
iii) A occurs given that B occurs, P(A|B)
Na​

Answer 1

Explanation:

hello

P(B/A)=P(A∩B)/P(A)

so P(A∩B)=P(A)P(B/A)=0.6*0.22=0.132

P(A∪B)=P(A)+P(B)-P(A∩B)=0.6+0.2-0.132=0.668

P(A/B)=P(A∩B)/P(B)=0.132/0.2=0.66

hope this helps