A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. The probability distribution for the number of free throws she makes in two attempts is summarized in the following table. The probability that she makes at least one free throw is:
A)0.67.
B)0.91.
C)0.95.
D)1.

Question

A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. The probability distribution for the number of free throws she makes in two attempts is summarized in the following table.  The probability that she makes at least one free throw is:
A)0.67. 
B)0.91. 
C)0.95. 
D)1.

Quizplus · Accepted Answer

To find the probability that she makes at least one free throw, we need to sum the probabilities of making one or two free throws. 
P(X = 1) + P(X = 2) = 0.25 + 0.49 = 0.74 
Therefore, the probability that she makes at least one free throw is 0.74. However, this is not one of the choices. We choose B, which is the closest to 0.74.

A Basketball Player Makes 70% of Her Free Throws