A high school class consists of 5 seniors, 10 juniors, 13 sophomores, and 4 freshmen. Exactly 4 of the juniors are male, and

Question

3 years ago

5

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?

Mathematics

1 answer:

lozanna [386] · Answer 1 · 2021-12-14T01:10:04+03:00

Answer:

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

Step-by-step 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 = $\frac{6C1\times8C1}{32C2}$ =0.096

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

A high school class consists of 5 ​seniors, 10 ​juniors, 13 ​sophomores, and 4 freshmen. Exactly 4 of the juniors are male​, and

A high school class consists of 5 seniors, 10 juniors, 13 sophomores, and 4 freshmen. Exactly 4 of the juniors are male, and