Question

P(e) = 0.27, p(f) = 0.43, and p(e ∩ f) = 0.08 find p(e | f).

Answer 1

In this question, it is given that

$P(e) = 0.27, p(f) = 0.43, and \  p(e \ \bigcap \ f) = 0.08$

And we need to find the value of

$p(e \ | \ f)$

Here we use the following formula of conditional probability, which is

$p(e \ | \ f) = \frac{p(e \bigcap f)}{p(f)}$

Substituting the given values in the formula, we will get

$p( e \ | \ f) = \frac{0.08}{0.43} = 0.186$