Question

42)) Let A and B be two
events such that P(A) =)
While P(A or B) = 12. Let
P(B) = P. For what values of
Pare A and B
independent?
O
a) 1/10 and 3/10
Ob) 3/10 and 4/5
O c) 3/8 only
O
d) 3/10​

Answer 1

Answer:

P(A')=1/4 so P(A)=3/4

P(AUB)'=1/6, P(AUB)=5/6

P(A∩B)=1/4

P(AUB)=P(A)+P(B)-P(A∩B)=3/4+P(B)-1/4

5/6=1/2+P(B)

P(B)=2/6=1/3

P(A)*P(B)=1/3*3/4=1/4=P(A∩B)

A and B are independent but not equally likely