Events M and N are independent events. In this scenario, if P (M) = 0.46 and P (M and N) = 0.138, then P (N) =.

Question

Elianna Fisher

Mathematics

16 June, 19:55

Events M and N are independent events. In this scenario, if P (M) = 0.46 and P (M and N) = 0.138, then P (N) =.

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Claire Lawrence · Answer 1

For two independent events A and B: Prob (A ∩ B) = Prob (A) Prob (B)

Then, P (M and N) = P (M) * P (N) ⇒P (N) = P (M and N) / P (M) = 0.138 / 0.46 = 0.3