Question
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.)
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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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
.