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The Probability That a Basketball Player Will Make a Given 610\frac { 6 } { 10 }

question 28

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The probability that a basketball player will make a given free throw is 610\frac { 6 } { 10 } .To find the probability that the player makes exactly 8 out of her next 10 free throws,evaluate the term 10C8(610) 8(410) 2{ } _ { 10 } C _ { 8 } \left( \frac { 6 } { 10 } \right) ^ { 8 } \left( \frac { 4 } { 10 } \right) ^ { 2 } in the expansion of (610+410) 10\left( \frac { 6 } { 10 } + \frac { 4 } { 10 } \right) ^ { 10 } .Round to four decimal places.

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