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

Explanation

Given that,

Total no. of cards `= 52`

Total no. of aces `= 4`


`P(ace)=frac{4}{52}=frac{1}{13}`

`P(non−ace)=frac{48}{52}=frac{12}{13}`

Let `X=` number of aces obtained in `2` draws.


`P(X=0)=P(non-ace and non-ace)`

`=P(non−ace) times P(non−ace)`

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