Number of free throws made 0 1 2 Probability 0.09 0.42 0.49 The probability that

Question

Number of free throws made

0

1

2

Probability

0.09

0.42

0.49

The probability that she makes at least one free throw is:

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:

Number of free throws made

0

1

2

Probability

0.09

0.42

0.49

The probability that she makes at least one free throw is:

0.95. 0.67. 1.00. 0.91.

Explanation / Answer

P(Making at least one free throw) = P(making exactly one free throw) + P(making exactly 2 free throws)

The '+' is used since there is an OR between the two cases:
1. making exactly one FT
2. making exactly 2 FTs

Hence, Answer = 0.42 + 0.49 = 0.91

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