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.)

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.)

UpStudy AI · Accepted Answer

Let $$ p $$ be the probability of making a free throw, so

$$
p=\frac{1}{5}.
$$

Then, the probability of missing a free throw is

$$
1-p=1-\frac{1}{5}=\frac{4}{5}.
$$

Since the free throws are independent events, the probability of missing three in a row is

$$
\left(\frac{4}{5}\right)^3=\frac{64}{125}.
$$

Thus, the probability that the player will miss three in a row is $$\frac{64}{125}$$.
The probability of the player missing three free throws in a row is $$\frac{64}{125}$$.

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.)

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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.)

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Latest Probability Questions

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.)