Question

If A and B are
events such that
P(AUB) = 0.5, P(B) = 0.8 and P(A/B) = 0.4, then what is P(A Union B) equal to?
(a) 0.08
(b) 0.02
(c) 08
(d) 0.2

PLEASE ANSWER​

Answer 1

Answer:

If two events A and B are independent then,

P(A n B)= P(A).P(B)

P(A u B)= P(A)+P(B)-P(A n B)

Since A and B are independent, so

P(A u B)= P(A)+P(B)-P(A).P(B)

0.9=0.6+P(B)-(0.6 x P(B))

P(B)(1–0.6)=0.3

P(B)=3/4= 0.75

Answer 2

Answer:

P(B)=0.75.

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