The Probability That a Basketball Player Will Make a Given $\frac { 7 } { 10 }$

Multiple Choice

The probability that a basketball player will make a given free throw is $\frac { 7 } { 10 }$ .To find the probability that the player makes exactly 7 out of her next 10 free throws, evaluate the term ${ } _ { 10 } C _ { 7 } \left( \frac { 7 } { 10 } \right) ^ { 7 } \left( \frac { 3 } { 10 } \right) ^ { 3 }$ in the expansion of $\left( \frac { 7 } { 10 } + \frac { 3 } { 10 } \right) ^ { 10 }$ .Round to four decimal places.

A) 0.0090
B) 3.3897
C) 0.0007
D) 0.2668
E) 9.8825