Suppose that E and F are two events and that N(E and F)=380 and N(E)=850. What is P(FIE)? P(FIE) (Round to three decimal places as needed.)
Suppose that E and F are two events and that N(E and F)=380 and N(E)=850. What is P(FIE)? P(FIE) (Round to three decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Question
![**Conditional Probability Calculation**
In the problem below, there are two events, \( E \) and \( F \). We are given the following information:
- \( N(E \text{ and } F) = 380 \)
- \( N(E) = 850 \)
The goal is to find the conditional probability \( P(F|E) \).
**Formula for Conditional Probability:**
The formula for the conditional probability of \( F \) given \( E \) is:
\[
P(F|E) = \frac{N(E \text{ and } F)}{N(E)}
\]
**Calculation:**
Substitute the given values into the formula:
\[
P(F|E) = \frac{380}{850}
\]
Perform the division and round to three decimal places as needed.
*Solution Box:*
\[
P(F|E) \approx \boxed{}
\]
(Note: Perform the division to find the numerical value and fill in the boxed area with the answer in an actual solution.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e5d1fcc-dc4e-459d-accd-b833757f73de%2F4cc2c13e-04fb-4770-9af8-040445268aa9%2Fq5tjwy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Conditional Probability Calculation**
In the problem below, there are two events, \( E \) and \( F \). We are given the following information:
- \( N(E \text{ and } F) = 380 \)
- \( N(E) = 850 \)
The goal is to find the conditional probability \( P(F|E) \).
**Formula for Conditional Probability:**
The formula for the conditional probability of \( F \) given \( E \) is:
\[
P(F|E) = \frac{N(E \text{ and } F)}{N(E)}
\]
**Calculation:**
Substitute the given values into the formula:
\[
P(F|E) = \frac{380}{850}
\]
Perform the division and round to three decimal places as needed.
*Solution Box:*
\[
P(F|E) \approx \boxed{}
\]
(Note: Perform the division to find the numerical value and fill in the boxed area with the answer in an actual solution.)
Expert Solution
Step 1
We have given that
N(E and F) = 380
N(E) = 850
We have to find
P(F/E) = ?
Step by step
Solved in 2 steps
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