Question

A high school class consists of 5 ​seniors, 10 ​juniors, 13 ​sophomores, and 4 freshmen. Exactly 4 of the juniors are male​, and exactly 5 of the sophomores are female. If two students are randomly selected from this​ class, what is the probability that the pair consists of a female junior and a male ​sophomore?

Answer 1

The probability that the pair consists of a female junior and a male sophomore is 0.096

Explanation:

No of male juniors=4

No of female juniors=10-4=6

No of female sophomores=5

No of male sophomores=13-5=8

As per question,

Probability that the pair consists of a female junior and

a male sophomore =
`(6C1*8C1)/(32C2)`=0.096

Therefore, the probability that the pair consists of a female junior and a male sophomore is 0.096