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Tue 8 Oct, 2013 07:02 am
What is the probability of having 2 and 3 of clubs next to each other in a shuffled deck?
I tried to view the probability of drawing 2 clubs as 1/52 while that for 3 clubs is 1/51, and I multiply the probability to get the answer. I am not sure if this is correct.
@probdaze,
Quote:What is the probability of having 2 and 3 of clubs next to each other in a shuffled deck?
1/26.
Take the 3 of clubs out of the deck. Arrange the other 51 cards in random order so that they form a sequence. There are 52 ways of adding the 3 of clubs to the sequence. Regardless of where the 2-of-clubs is, two of these ways result in the 2 and 3 of clubs ending up next to each other.
@probdaze,
guessing there are 52 cards and one card must be immediately before or after the other card so the chance is 2 in 52 .
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