81.2k views
23 votes
The probability that a

basketball player makes
a free throw is 78%.
What is the probability
the basketball player
makes exactly 7 out of
8 free throws?

User Aperkins
by
4.3k points

2 Answers

4 votes

Answer: The probability is 0.31, or 31%, rounded to the nearest hundredth.

Explanation:

1. Solve using the Binomial Theorem: nCk*p^k*(1-p)^(n-k).

2. Defrine your variables: n=the total number of trials(8), k=the number of successful trials(7), p=the probability of success(0.78)

3. Substitute and Solve: 8C7*.78^7*.22^1=8*0.17565568854*.22=0.309154

4. Round to the nearest hundredth: .309154=.31, or 31%.

User Steven Hovater
by
4.2k points
11 votes
78 % for the free throw the all w

User Maccard
by
4.8k points