Suppose that $E$ and $F$ are two events and that $P(E$ and $F)=0.38$ and $P(E)=0.8$. What is $P(F \mid E)$ ? 2.105 1.18 0.475 0.304

Step 1 ：The problem is asking for the conditional probability of event F given event E. The formula for conditional probability is \(P(F|E) = \frac{P(E \text{ and } F)}{P(E)}\).

Step 2 ：We are given that \(P(E \text{ and } F) = 0.38\) and \(P(E) = 0.8\).

Step 3 ：Substitute these values into the formula to find \(P(F|E)\).

Step 4 ：So, \(P(F|E) = \frac{0.38}{0.8} = 0.475\).

Step 5 ：Final Answer: The probability of event F given event E is \(\boxed{0.475}\).