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Two cards are drawn successively with replacement from a well-

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Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Find the probability distribution of the number of aces.

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Text solutionVerified

Solution: in a deck, 4 aces
p(ace)=

\frac{4}{52} = \frac{1}{13}

p(ace

^{'}

)

= 1 - \frac{1}{13} = \frac{12}{13}

x= no of aces

x = {0, 1, 2}

p (x = 0) = \frac{12}{13} \cdot \frac{12}{13} = \frac{144}{169}

p (x = 1) = \frac{12}{13} \cdot \frac{1}{13} + \frac{1}{13} \cdot \frac{12}{13} = \frac{24}{169}

p (x = 2) = \frac{1}{13} \cdot \frac{1}{13} = \frac{1}{169}

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Question Text	Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Find the probability distribution of the number of aces.
Answer Type	Text solution:1
Upvotes	150