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1 year ago

If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?

Mathematics

1 answer:

pashok25 [27]1 year ago

7 0

The events A and B are not independent.

Given that,

P(A|B) = 0.4

P(A) = 0.5

P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

Learn more about independent events at brainly.com/question/22881926

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