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(C) Let $X$ be the random variable representing the number of aces obtained in $2$ draws.Since the cards are drawn with replacement,this follows a Bin

Vedclass · Accepted Answer

$2/13$

Vedclass · Answer

(C) Let $X$ be the random variable representing the number of aces obtained in $2$ draws.Since the cards are drawn with replacement,this follows a Binomial distribution $B(n, p)$ where $n = 2$ and $p = \frac{4}{52} = \frac{1}{13}$.The probability of success (getting an ace) is $p = \frac{1}{13}$ and the probability of failure is $q = 1 - p = \frac{12}{13}$.The mean of a Binomial distribution is given by $E(X) = np$.Therefore,$E(X) = 2 	imes \frac{1}{13} = \frac{2}{13}$.

Two cards are drawn successively with replacement from a well-shuffled deck of $52$ cards. The mean of the number of aces is:

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