A pair of dice is thrown 6 times. What is the | vedclass

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(D) Let $n$ be the number of trials,where $n = 6$.Let $X$ be the random variable representing the number of times a $4$ is obtained.Since we are throw

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None of these.

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(D) Let $n$ be the number of trials,where $n = 6$.Let $X$ be the random variable representing the number of times a $4$ is obtained.Since we are throwing a pair of dice $6$ times,the maximum number of times we can get a $4$ is $6$.We are asked to find the probability of getting a $4$ exactly $7$ times,i.e.,$P(X = 7)$.Since the number of trials $n = 6$ is less than the required number of successes $k = 7$,it is impossible to get $7$ successes in $6$ trials.Therefore,$P(X = 7) = 0$.Since $0$ is not among the given options,the correct answer is $D$ (None of these).

$A$ pair of dice is thrown $6$ times. What is the probability of getting a $4$ exactly seven times?

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