Question

In a group of 50 people, 38 are women, 23 have dark hair. 16 are women with dark hair. One person is selected. What is the probability the person is a man with dark hair?

Answer 1

P ( WD ) = 0.14

Explanation:

Solution:-

- In the given group we have total , T = 50 people

- Number of women , W = 38

- Number of men, M = T - W = 50 - 38 = 12

- People with dark hair, D = 23

- Women with dark hair, WD = 16

- Men with dark-hair, MD = D - WD = 23 - 16 = 7

- The probability of selecting a person who is a man with dark hair is:

P ( WD ) = Possible men with dark hair / Total people in group

P ( WD ) = WD / T

P ( WD ) = 7 / 50

P ( WD ) = 0.14

Answer 2

Probabilty that the person is a man with dark hair = 0.14.

Explanation:

38 are women (given)

So, 50 - 38 = 12 are men.

23 have dark hair and 16 are women with dark hair (given)

So, 23 - 16 = 7 men with dark hair.

Thus, probability = number of men with dark hair / number of people

Probability = 7 / 50 = 0.14