Slim, a professional poker player, is at the poker table. As he sits at the tabl

Question

Slim, a professional poker player, is at the poker table. As he sits at the table looking at his hand and at the upturned cards on the table, Slim sees 23 cards and the only diamonds are the 3 in his hand. What is the probability that the next 2 cards dealt to Slim will be diamonds? This outcome would give him 5 cards from the same suit, a hand that is called a flush.

Give your answer to 4 decimal places.
Fill in the blank:
The probability that the next 2 cards dealt will be diamonds is: _______ .

Explanation / Answer

as there are (52-23=29) remaining cards out of which (13-3=10) card of diamonds.

therefore probability that the next 2 cards dealt will be diamonds is =(10/29)*(9/28)=0.1108

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