Question

Given P(X) = 0.5, P(Y) = 0.4, and P(Y|X) = 0.3, what are P(X and Y) and P(X or Y)?

Answer 1

P(X and Y) =0.2, P(X or Y)=0.7

Explanation:

P(X or Y)

P(X∪Y) = P(X)+P(Y) - P(X∩Y)

= 0.5 + 0.4 - 0.2

= 0.7

or 1-P(Y|X)=1-0.3=0.7

P(X and Y)

P(X∩Y) = P(X) × P(Y)

= 0.5 × 0.4

= 0.2

I hope it helps