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Julli [10]
4 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]4 years ago
7 0

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

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