Question

A company set up a kiosk at Great Lakes Mall for several hours and asked 150 randomly selected people where they prefer to watch movies. The results follow:

	Females	Males	Total
At the theater	32	27	59
Online	15	23	38
On the television	20	22	42
“I don’t watch movies”	5	6	11
Total	72	78	150

a) What is the probability that a randomly selected person is a female given that prefer watching movies at the theater? (Write your answer as a fraction reduced to lowest terms. Format answer 0/0)

b) What is the probability that a randomly selected person prefers to watch movies online? (Write your answer as a fraction reduced to lowest terms. Format answer 0/0)

Answer 1

a) What is the probability that a randomly selected person is a female given that prefer watching movies at the theater?

Let T = total number of persons who are watching movies at the theater = 59

F_t = Total number of females who are  watching movies at the theater = 32

So the required probability = F_t /T = 32/59 (This is the final answer).

b) What is the probability that a randomly selected person prefers to watch movies online?

Let n = Total number of persons = n = 150

Total number of persons who are prefers to watch movies online = 38

So required probability = 38/150 = 19/75 (This is the final answer).