A 5-card is dealt from a deck of 52 cards. what is the probability that all 3 cards are queens and two are?

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A 5-card is dealt from a deck of 52 cards. what is the probability that all 3 cards are queens and two are?

kings?

2007-04-22 15:45:33 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

The probability of three queens, two kings is 4/52 * 3/51 * 2/50 * 4/49 * 3/48 * 10 (number of possible ways to do it).
QQQKK
QQKQK
QQKKQ
QKQQK
QKQKQ
QKKQQ
KQQQK
KQQKQ
KQKQQ
KKQQQ

4/52 * 3/51 * 2/50 * 4/49 * 3/48 * 10 = 1/108290

2007-04-22 15:55:08 · answer #1 · answered by Steve A 7 · 0⤊ 0⤋

4C1*4C2*5C2/52C5 = 0.000092345

2007-04-22 16:12:40 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋