SOLUTION: A box contains n tickets marked 1 through n. Two tickets are drawn in succession without replacement. Determine the probability that the numbers on the tickets are consecuti

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Question 476890: A box contains n tickets marked 1 through n. Two tickets are drawn in succession without
replacement. Determine the probability that the numbers on the tickets are consecutive integers.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If there are n = 2 tickets only, the probability is 1. So we exclude this case. Assume that n%3E=3.
There are 2(n-1) possible pairs of consecutive integers in two drawings. There are n(n-1) ways of drawing two pairs of tickets. Hence the probability is
%282%28n-1%29%29%2F%28n%28n-1%29%29+=+2%2Fn.