In a random sample of 100 college students, 60 were females , 65 were under 21 y

Question

In a random sample of 100 college students, 60 were females , 65 were under 21 years of age , and 15 makes were 21 years of age or older . A student is selected at random from this sample.
What is the probability that a female student of age 21 or older is selected ?
A. 0.20 B. 0.21 C. 0.75 D. 0.95
(I chose A after doing the math, but not sure :/) In a random sample of 100 college students, 60 were females , 65 were under 21 years of age , and 15 makes were 21 years of age or older . A student is selected at random from this sample.
What is the probability that a female student of age 21 or older is selected ?
A. 0.20 B. 0.21 C. 0.75 D. 0.95
(I chose A after doing the math, but not sure :/) In a random sample of 100 college students, 60 were females , 65 were under 21 years of age , and 15 makes were 21 years of age or older . A student is selected at random from this sample.
What is the probability that a female student of age 21 or older is selected ?
A. 0.20 B. 0.21 C. 0.75 D. 0.95
(I chose A after doing the math, but not sure :/)

Explanation / Answer

If 60 were females, then 40 are males.

If 65 were under 21, then 35 are over 21.

If 15 males are over 21, and (35 - 15) = 20 females are over 21.

Thus, the probability is

P(female and older than 21) = 20/100 = 0.20 [OPTION A, ANSWER]

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