A First Course in Probability

Sheldon M. Ross

$Math Studyset 91影视 Explanations$ Math

9th Edition 路 432 pages

ISBN: 9780321794772

Chapter 3: Q.3.36 (page 100)

Stores $A, B$ , and $C$ have $50, 75$ , and $100$ employees, respectively, and $50, 60$ , and $70$ percent of them respectively are women. Resignations are equally likely among all employees, regardless of sex. One woman employee resigns. What is the probability that she works in store $C$ ?

Short Answer

Expert verified

The probability that she works in store $C$ is $\frac{1}{2}$ .

Step by step solution

Given information

Stores $A, B$ , and $C$ have $50, 75$ , and $100$ employees, respectively, and $50, 60$ , and $70$ percent of them respectively are women.

Solution

The table of the employee's work in the store is given below,

Number of employees	Women
$A : 50$	$0.5$
$B : 75$	$0.6$
$C : 100$	$0.7$

Then the probability will be,

$P (C 鈭� Women) = \frac{0.7 脳 100}{0.5 脳 50 + 0.6 脳 75 + 0.7 脳 100}$

$= \frac{70}{140}$

$= \frac{1}{2}$

Final answer

The probability that she works in store $C$ is $\frac{1}{2}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Stores $A, B$ , and $C$ have $50, 75$ , and $100$ employees, respectively, and $50, 60$ , and $70$ percent of them respectively are women. Resignations are equally likely among all employees, regardless of sex. One woman employee resigns. What is the probability that she works in store $C$ ?

Short Answer

Step by step solution

Given information

Solution

Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Mechanics Maths

Decision Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

91影视

Stores A,B, and Chave 50,75, and 100employees, respectively, and 50,60, and 70percent of them respectively are women. Resignations are equally likely among all employees, regardless of sex. One woman employee resigns. What is the probability that she works in store C?

Short Answer

Step by step solution

Given information

Solution

Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Mechanics Maths

Decision Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Stores $A, B$ , and $C$ have $50, 75$ , and $100$ employees, respectively, and $50, 60$ , and $70$ percent of them respectively are women. Resignations are equally likely among all employees, regardless of sex. One woman employee resigns. What is the probability that she works in store $C$ ?