If P (A) = 0.4, P (B) = 0.8, P (B/A) = 0.6. Find P (A/B) and P (A ∪ B).

Question

Philoid · Accepted Answer

We have, P (A ∪ B) = P (A)+ P (B)- P (A ∩ B)

From equation, =

P (B ∩ A) = × P (A) = 0.6× 0.4

= 0.24

Hence, = =

= 0.3 (answer)

And P (A ∪ B) = P (A)+ P (B)- P (A ∩ B)

= 0.4+0.8-0.24

= 0.96 (answer)