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Sagot :
The probability that he will serve exactly four aces out of seven serves is 5.7 %.
Given :
if the probability that a certain tennis player will serve an ace is 1 / 4 .
If we let p stand for the probability of a succes, then p = 1/4, and ( 1 - p ) = 3/4. (1-p) is the probability that he will NOT serve an ace.
Formula for probability:
P (m successes in n trials) = ( nCm ) * p^m * ( 1 - p )^( n - m ).
= 7C4 * ( 1/4 )^4 * ( 3/4 )^( 7 - 4 )
= 7! / ( 7 - 4 )! 4! * 1/256 * 27/64
= 7 * 6 * 5 / 3 * 2 * 1 / 256 * 27/64
= 35/256 * 27/64
= 945/16384
= 0.057
= 0.057 * 100 %
= 5.7 %
Learn more about the probability here:
https://brainly.com/question/11234923
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