In the days he was still playing, Reggie Miller could score from the free-throw line of the
time. Suppose he is playing in a game and he is fouled and has got to shoot two. Assuming that
the result of each free-throw is independent of the result of the other free-throw. What is the
probability that he will score at least one of the shots?
Note: Please enter your answer in the box below without rounding it.

Question

In the days he was still playing, Reggie Miller could score from the free-throw line

of the
time. Suppose he is playing in a game and he is fouled and has got to shoot two. Assuming that
the result of each free-throw is independent of the result of the other free-throw. What is the
probability that he will score at least one of the shots?
Note: Please enter your answer in the box below without rounding it.

UpStudy AI · Accepted Answer

Let the probability of scoring a free throw be $$ p = 0.92 $$. The probability of missing a free throw is

$$
1 - p = 1 - 0.92 = 0.08.
$$

Since the free throws are independent, the probability that he misses both shots is

$$
(0.08)^2 = 0.0064.
$$

Thus, the probability that he scores at least one shot is the complement of missing both shots:

$$
1 - 0.0064 = 0.9936.
$$
The probability that Reggie Miller scores at least one of the two free throws is 0.9936.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Probability Questions