Question

suppose that e and f are two events and that p(e and f)=0.1 and p(e)=0.4. 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 into the formula

Given \( P(E\cap F) = 0.1 \) and \( P(E)=0.4 \), substitute these into the formula: \( P(F|E)=\frac{0.1}{0.4} \).

Step3: Calculate the value

\(\frac{0.1}{0.4}=0.25\).

Answer:

\(0.25\)