Question

At a large university, 15% of students are business majors and 20% are communications majors. If two students are selected at random, what is the probability the first is a communications major and the second is a business major?

Express your answer in decimal form using two decimal places.

Answer 1

Probability the first is a communications major and the second is a business major = 0.03

Explanation:

let the total number of students be 100

Event A= Business Majors = 15%

Event B = Communication Majors = 20%

P(A) =
`(15)/(100)` ⇒ P(A) = 0.15

P(B) =
`(20)/(100)` ⇒ P(B) = 0.2

P( A and B) = P(A) × P(B)

= 0.15 × 0.2

= 0.03