Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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**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)?

**Solution:**

To find P(F|E), use the formula for conditional probability:

\[ P(F|E) = \frac{P(E \text{ and } F)}{P(E)} \]

Substitute the given probabilities:

\[ P(F|E) = \frac{0.1}{0.4} \]

\[ P(F|E) = 0.25 \]

**Answer:**

P(F|E) = 0.25 (Type an integer or a decimal.)
Transcribed Image Text:**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)? **Solution:** To find P(F|E), use the formula for conditional probability: \[ P(F|E) = \frac{P(E \text{ and } F)}{P(E)} \] Substitute the given probabilities: \[ P(F|E) = \frac{0.1}{0.4} \] \[ P(F|E) = 0.25 \] **Answer:** P(F|E) = 0.25 (Type an integer or a decimal.)
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Solution-:

Given: P(E and F)=0.1, P(E)=0.4

We want to find P(F|E)=?

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