For two independent events A and B, P (A) = 0.5 and P(B) = 0.7. Find P

1.	For two independent events A and B, P (A) = 0.5 and P(B) = 0.7. Find P(A’ ∩ B’).
Answer» A and B are independent events. So A’ and B’ are also independent events. P(A) = 0.5, P(B) = 0.7 are given. ∴ P(A’ ∩ B’) = P(A’) ∙ P(B’) = [1 – P(A)] [1 – P(B)] = [1 – 0.5] [1 – 0.7] = [0.5 × 0.3] = 0.15

For two independent events A and B, P (A) = 0.5 and P(B) = 0.7. Find P(A’ ∩ B’).

Answer»

A and B are independent events. So A’ and B’ are also independent events. P(A) = 0.5, P(B) = 0.7 are given.

∴ P(A’ ∩ B’) = P(A’) ∙ P(B’)

= [1 – P(A)] [1 – P(B)]

= [1 – 0.5] [1 – 0.7]

= [0.5 × 0.3]

= 0.15

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For two independent events A and B, P (A) = 0.5 and P(B) = 0.7. Find P(A’ ∩ B’).

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