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 $\frac{1}{2}$ .

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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

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Theoretical and Mathematical Physics

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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

Theoretical and Mathematical Physics

Pure Maths

Probability and Statistics

Applied Mathematics

Logic and Functions

Geometry

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 $C$ ?