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. do not round.)

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 \( P(E \cap F) = 0.1 \) and \( P(E) = 0.4 \). Substituting these values into the formula, we get \( P(F|E) = \frac{0.1}{0.4} \).

Step3: Simplify the fraction

Simplifying \( \frac{0.1}{0.4} \) gives \( 0.25 \).

Answer:

\( 0.25 \)