Question

suppose that e and f are two events and that p(e and f)=0.4 and p(e)=0.8. what is p(f|e)? p(f|e)=□ (type an integer or a decimal.)

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability is $P(F|E)=\frac{P(E\cap F)}{P(E)}$.

Step2: Substitute the given values

We are given that $P(E\cap F) = 0.4$ and $P(E)=0.8$. Substituting these values into the formula, we get $P(F|E)=\frac{0.4}{0.8}$.

Step3: Simplify the fraction

$\frac{0.4}{0.8}=\frac{4}{8}=0.5$.

Answer:

$0.5$