Forty-eight percent of the U.S. population is female, and 23.3% of the female population have a college degree. If a U.S. resident is chosen at random, what is the probability, to three decimal places, that the person is a female with a college degree?
A)Pr(female ∩ college degree) = 0.233
B)Pr(female ∩ college degree) = 0.713
C)Pr(female ∩ college degree) = 0.023
D)Pr(female ∩ college degree) = 0.112
E)Pr(female ∩ college degree) = 0.048

Question

Forty-eight percent of the U.S. population is female, and 23.3% of the female population have a college degree. If a U.S. resident is chosen at random, what is the probability, to three decimal places, that the person is a female with a college degree? ​
A)Pr(female ∩ college degree) = 0.233
B)Pr(female ∩ college degree) = 0.713
C)Pr(female ∩ college degree) = 0.023
D)Pr(female ∩ college degree) = 0.112
E)Pr(female ∩ college degree) = 0.048

Quizplus · Accepted Answer

To find the probability that a randomly chosen U.S. resident is a female with a college degree, multiply the probability of being female (0.48) by the probability that a female has a college degree (0.233): $0.48 \times 0.233 = 0.11184$, which rounds to 0.112 to three decimal places.

Forty-Eight Percent of the U