A basketball player is shooting hoops. He shoots a free throw, a high school 3-pointer, and then a professional 3-pointer. The probability that he makes the free throw is 4/5, the probability that he makes the high school 3-pointer is 1/2, and the probability that he makes the professional 3-pointer is 1/3. What is the probability that he makes at least one of the three shots? Select the correct option
A) 14/15
B) 15/16
C) 17/18
D) 9/10
E) 5/6
The probability that he makes at least one of the three shots = 1 - (the probability that he misses all of the shots)   The probability that he misses all shots = (prob that he misses free throw)*(prob that he misses 3-pointer)*(prob that he misses the professional 3-pointer)   Prob that he misses the free throw = 1 - 4/5 = 1/5; Prob that he misses the 3-pointer = 1 - 1/2 = 1/2; Prob that he misses the professional 3-pointer = 1 - 1/3 = 2/3   Thus the probability that he misses all shots = (1/5)*(1/2)*(2/3) = 1/15   14/15nswer: 1 - 1/15 = 14/15   14/15
<result>A</result>
A basketball player is shooting hoops. He shoots a free throw, a high school 3-pointer, and then a professional 3-pointer. The probability that he makes the free throw is 4/5, the probability that he makes the high school 3-pointer is 1/2, and the probability that he makes the professional 3-pointer is 1/3. What is the probability that he makes at least one of the three shots?