Probability and Combinations in Employment

This video tutorial explains how to calculate probabilities using combinations. It covers three examples: selecting three women, two men and one woman, and one man and two women from a group of employees. The tutorial demonstrates the use of combinations to find the number of favorable outcomes and divides by the total number of ways to select employees. It also includes a step-by-step guide to calculating these probabilities by hand and verifying them with a calculator.

What is the total number of employees in the company?

• 20

• 12

• 10

• 15

How many women are employed by the company?

• 5

• 6

• 7

• 8

What is the formula for calculating combinations?

• N factorial divided by R factorial

• N factorial divided by (N-R) factorial

• N factorial divided by (N-R) factorial times R factorial

• N factorial times R factorial

What is the probability of selecting three women from the group?

• 7/44

• 1/2

• 3/4

• 5/6

What is the decimal equivalent of the probability of selecting three women?

• 0.1591

• 0.3182

• 0.4773

• 0.5000

What is the probability of selecting two men and one woman?

• 3/7

• 2/5

• 1/3

• 7/22

What is the decimal equivalent of the probability of selecting two men and one woman?

• 0.5000

• 0.4773

• 0.3182

• 0.1591

What is the probability of selecting one man and two women?

• 21/44

• 4/7

• 1/2

• 3/5

What is the decimal equivalent of the probability of selecting one man and two women?

• 0.5000

• 0.1591

• 0.3182

• 0.4773

What is the percentage equivalent of the probability of selecting one man and two women?

• 15.91%

• 31.82%

• 47.73%

• 50.00%