Stores A, B, and C have 120, 40, and 90 employees, respectively, and 40, 65, and 50 percent of them respectively are women. An employee is selected at random from the combined list of employees in the three stores. What is the probability that the selected employee is a woman?

Question

Baird

Business

22 January, 11:05

Stores A, B, and C have 120, 40, and 90 employees, respectively, and 40, 65, and 50 percent of them respectively are women. An employee is selected at random from the combined list of employees in the three stores. What is the probability that the selected employee is a woman?

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Answers (1)

Know the Answer?

Grant Gill · Answer 1

0.476

Explanation:

First we need to determine the total number of employees and then the total number of women to get the probability that the selected employee is a woman.

Probability is the number of possible outcome over the number of total outcome.

Total number of employees = 120 + 40 + 90 = 250

Total number of women = (40% * 120) + (65% * 40) + (50% * 90)

= 48 + 26 + 45

= 119

The probability that the selected employee is a woman = 119/250

= 0.476

= 119