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Helen makes a free throw 75 percent of the time, and makes the second given the first 85 percent of the time. What is the probability she makes both?
AThe probability is 0.5625
BThe probability is 0.6375
CThe probability is 0.7500
DThe probability is 0.8500
Answer & Solution
Correct answer: B. The probability is 0.6375
1. Apply the multiplication rule with the first shot as the condition.
2. That gives 0.75 multiplied by 0.85.
3. The product is 0.6375, so she makes both free throws with probability 0.6375.
4. The value 0.5625 is 0.75 squared and would only apply if the two shots were independent.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.3 Two Basic Rules of Probability_
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