Question

A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected major. Selected Major Gender Management Marketing Others Total Male 40 10 30 80 Female 30 20 70 120 Total 70 30 100 200

a. What is the probability of selecting an individual who is majoring in Marketing?

b. What is the probability of selecting an individual who is majoring in Management, given that the person is female?

c. Given that a person is male, what is the probability that he is majoring in Management?

d. What is the probability of selecting a male individual?

Answer 1

In Table we have the information as

Major/ Gender	Management	Marketing	Others	Total
Male	40	10	30	80
Female	30	20	70	120
Total	70	30	100	200

a) Total number of students is 200, and out of them 30, had taken Marketing as major

So the probability is ​​​​​​

b) There are 120, Females and out of them 30, are majoring in Management

So the required probability is

c) There are 80, males and out of them 40, are majoring in Management

So the required probability is

d) Since there are 80, males so the probability is