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

Answer

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Answer

Final Answer: The probability of event F given event E is $\boxed{0.475}$.

Steps

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 $\boxed{0.475}$.

Suppose that $E$ and $F$ are two events and that $P(E$ and $F)=0.38$ and $P(E)=0.8$. What is $P(F \mid E)$ ?2.1051.180.4750.304

Answer

Popular Problems

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