1 in 132,600 for a deck of 52 cards (without jokers)
1 in 148,824 for a deck of 54 cards (with jokers)
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Aprox. 0.018%There are 4 queens in a regular deck of 52 cards.The probability of drawing a queen on the first draw is: P(Q1) = 4/52.The probability of drawing a queen on the second draw given that the first card wasa queen is: P(Q2│Q1) = 3/51.The probability of drawing a queen on the third draw given that the first two cardswere queens is: P(Q3│(Q2UQ1)) = 2/50.The probability of drawing 3 queens on the first 3 cards drawn from a deck of cardsis: P(Q1UQ2UQ3) = (4/52)∙(3/51)∙(2/50) = 1.80995... x 10-4 ≈ 0.00018 ≈ 0.018%
4/52 X 3/51 x 2/50.
In a deck of 52 cards, there are four suits. Each suit contains an ace and the numbers two through ten as well as a Jack, Queen, and King. In a modern deck, there are twelve face cards in all.
P(8) AND P(8) = 4/52 * 3/51 = 12/2652 = 0.00452.
The probability of drawing three diamonds from a standard deck of 52 cards is (13 in 52) times (12 in 51) times (11 in 50), or 1716 in 132600, or about 0.01294.