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.)
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 Turner Boyd. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of missing three free throws in a row is
.
Solution
The probability that the player misses three free throws in a row is calculated as follows:
- Probability of missing one free throw:
(since the probability of making it is ). - Probability of missing three in a row:
.
Answer:
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To find the probability that the player will miss three free throws in a row, we start by calculating the probability of missing a single free throw. Since the player makes a free throw with a probability of
, the probability of missing a free throw is:
Now, to find the probability of missing three in a row, we raise the probability of missing one free throw to the power of three:
Therefore, the probability that the player will miss three free throws in a row is