Question

suppose that e and f are two events and that n(e and f)=460 and n(e)=930 what is p(f|e)?
p(f|e)≈ (round to three decimal places as needed.)

Explanation:

Step1: Recall the formula for conditional probability

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

Step2: Substitute the given values into the formula

Given \(N(E\cap F) = 460\) and \(N(E)=930\), we substitute these values into the formula: \(P(F|E)=\frac{460}{930}\).

Step3: Calculate the value

\(\frac{460}{930}\approx0.495\) (rounded to three decimal places).

Answer:

\(0.495\)