Question 1 Find PA intersects B if PA 02 PB 04 and PAB PBA 0

Question 1: Find P(A intersects B) if P(A) 0.2, P(B) 0.4 and P(A|B) P(B|A)= 0.75.

P(A) = 0.2

P(B) = 0.4

GIVEN P(A/B) + P(B/A) = 0.75

=> P(A intersection B)/P(B) + P(A intersection B)/P(A) = 0.75

=> P(A intersection B)/0.40 + P(A intersection B)/0.20 = 0.75

let P(A intersection B) = x

so x/0.40 + x/0.20 = 0.75

by solving x

we get x= 0.1

so P(A intersection B) = x = 0.1.................ANSWER