William and Mary are going bowling. The probability that Mary scores more than 175 is 0.6, and the probability that William scores more than 175 is 0.7. Their scores are independent.
a. Find the probability that both score more than 175 .
b. Given that William scores more than 175 , the probability that Mary scores higher than William is 0.4. Find the probability that William scores more than 175 and Mary scores higher than William.
A) a. 0.42
b. 0.24
B) a. 0.02
b. 0.28
C) a. 0.02
b. 0.24
D) a. 0.42
b. 0.28

Question

William and Mary are going bowling. The probability that Mary scores more than 175 is 0.6, and the probability that William scores more than 175 is 0.7. Their scores are independent. 
a. Find the probability that both score more than 175 .
b. Given that William scores more than 175 , the probability that Mary scores higher than William is 0.4. Find the probability that William scores more than 175 and Mary scores higher than William.
A) a. 0.42
b. 0.24
B) a. 0.02
b. 0.28
C) a. 0.02
b. 0.24
D) a. 0.42
b. 0.28

Quizplus · Accepted Answer

The probability that both score more than 175 is 0.6 * 0.7 = 0.42. Given that William scores more than 175, the probability that Mary scores higher than William is 0.4, so the probability that William scores more than 175 and Mary scores higher than William is 0.7 * 0.4 = 0.28.

William and Mary Are Going Bowling