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

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 8 out of her next 10 free throws, evaluate the term
​ ${ } _ { 10 } C _ { 8 } \left( \frac { 7 } { 10 } \right) ^ { 8 } \left( \frac { 3 } { 10 } \right) ^ { 2 }$ in the expansion of $\left( \frac { 7 } { 10 } + \frac { 3 } { 10 } \right) ^ { 10 }$ . Round to four decimal places.
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