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)?
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e5d1fcc-dc4e-459d-accd-b833757f73de%2F480189d9-462f-4dab-bc64-778eddec8c76%2Fgc5xggh_processed.jpeg&w=3840&q=75)
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.)
Expert Solution
Step 1
Solution-:
Given: P(E and F)=0.1, P(E)=0.4
We want to find P(F|E)=?
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