Kenneth S. answered • 04/01/16

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The particular term of the binomial expansion (p+q)

^{24}representing 4 sixes rolled in the 24 'Bernoulli trials' consists of three factors:_{24}C

_{4}, representing # of combinations of four sixes in the 20 trials,

p

^{4}representing the probability of Success (defined as rolling "6"), where p = 1/6,q

^{20 }representing the probability of Failure (rolling not a "6"), where p = 5/6.To compute this term, we multiply the above three numbers, to obtain the

probability of exactly 4 "6" rolls out of 24 rolls = 0.213865, approx.