Question

A basketball player has made 60% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following. a) Misses for the first time on his sixth attempt b) Makes his first basket on his fourth shot c) Makes his first basket on one of his first 3 shots

          A basketball player has made 60% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following.
a) Misses for the first time on his sixth attempt
b) Makes his first basket on his fourth shot
c) Makes his first basket on one of his first 3 shots

A basketball player has made 60% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following.
a) Misses for the first time on his sixth attempt
b) Makes his first basket on his fourth shot
c) Makes his first basket on one of his first 3 shots

Added by Gema S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

04/18/2023

Step 1

Misses for the first time on his sixth attempt: This means he makes the first 5 shots and misses the 6th shot. Since the shots are independent, we can multiply the probabilities of each shot. P(misses 6th) = P(makes 1st) * P(makes 2nd) * P(makes 3rd) * P(makes Show more…

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A basketball player has made 60% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following. a) Misses for the first time on his sixth attempt b) Makes his first basket on his fourth shot c) Makes his first basket on one of his first 3 shots