Two different integers are chosen at random from {1,2,3,…,99,100}. What is the probability that the two integers are consecutive ?
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Consecutive integer pairs can be selected in the following ways
1,2
2,3
3,4
…
99...
So, we have a possible 99 pairs.
The number of ways of selecting 2 integers from 100 integers =100C2
∵2 integers are selected at random, the required probability is
=99100C2
=99÷100×992
=99×2100×99
=2100
=150
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