Question
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A basketball player shoots free throws and makes them with probability . What is the probability of the event the
player will miss three in a row?
The probability that the player will miss three in a row is
(Type an integer or a simplified fraction.)

Ask by Watson Chadwick. in the United States
Mar 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability of the player missing three free throws in a row is .

Solution

Let be the probability of making a free throw, so
Then, the probability of missing a free throw is
Since the free throws are independent events, the probability of missing three in a row is
Thus, the probability that the player will miss three in a row is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Extra Insights

The probability that the player misses a single free throw is . To find the probability of missing three in a row, we calculate .
Therefore, the probability that the player will miss three free throws in a row is .

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