Question

suppose that e and f are two events and that ( p(e \text{ and } f)=0.3 ) and ( p(e)=0.5 ). what is ( p(f|e) )?
( p(f|e)=square ) (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 \(P(E\cap F) = 0.3\) and \(P(E)=0.5\), we substitute these values into the formula: \(P(F|E)=\frac{0.3}{0.5}\).

Step3: Calculate the value

\(\frac{0.3}{0.5}=0.6\)

Answer:

\(0.6\)