Question

If P(AUB) =0.80 P(A∩B)=0.15 & P(A)=2P(B) find P(A) & P(B)​

Answer 1

Answer:

Correct options are B) and D)

Events A and B are independent then P(A⋂B)=0

P(A⋃B)=P(A)+P(B)−P(A).P(B)

Given: P(A)=0.15

P(A⋃B)=0.45

∴P(B)=P(A⋃B)−P(A)+P(A)P(B)

P(B)=0.45−0.15+1.15P(B)

P(B)=0.3+0.15P(B)

P(B)(1−0.15)=0.3

P(B)(0.85)=0.3

P(B)=

0.85

0.3

=0.352=

17

6