The probability that a basketball player will make a given free throw is . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term in the expansion of . Round to four decimal places.
A)0.0016
B)0.0605
C)0.0010
D)0.0403
E)0.1008

Question

The probability that a basketball player will make a given free throw is  . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term  in the expansion of  . Round to four decimal places.
A)0.0016 
B)0.0605 
C)0.0010 
D)0.0403 
E)0.1008

Quizplus · Accepted Answer

The expansion of (a+b)^{10} can be used to find the probability of making exactly 9 out of 10 free throws. 
The term for making exactly 9 free throws is: 
(10 choose 9)*(0.11)^9*(0.89)^1 
= 10*(0.11)^9*(0.89) 
= 0.0403 (rounded to four decimal places)

Therefore, the answer is D, with the probability of exactly 9 out of 10 free throws being 0.0403.

The Probability That a Basketball Player Will Make a Given