What is the probability that you are delt 4 of one kind and one other card
2007-04-03 18:08:12 · 3 answers · asked by michael t 1 in Science & Mathematics ➔ Mathematics
first, select 5 out of 52. The possible combination is:
(52*51*50*49*48) / (5!) = 2598960 ways.
There are 13 combinations that are same kind. After selecting 4 cards, there are 48 others card left, and any of these card can be part of the combination.
13 * 48 = 624
probability is 624 / 2598960
2007-04-03 18:23:55 · answer #1 · answered by Ha!! 2 · 0⤊ 0⤋
(52/52)(48/51)(6/50)(2/49)(1/48) +
(52/52)(3/51)(48/50)(2/49)(1/48) +
(52/52)(3/51)(2/50)(48/49)(1/48) +
(52/52)(3/51)(2/50)(1/49)(48/48) =
5(52/52)(3/51)(2/50)(1/49)(48/48) =
5(3/51)(2/50)(1/49) = 1/4165 =
0.0002400960 â 0.00024
2007-04-04 01:38:48 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋
1/1*3/51*2/50*1/51*1/1 = 1/43.350
2007-04-04 01:14:57 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋