What is the smallest positive integer m such that if m numbers are drawn at random from the set {1, 2, . . . , 100}, it is more likely than not that at least two of the numbers drawn are consecutive?
Added by Alyssa N.
Step 1
The total number of ways to choose m numbers from 100 is given by the combination formula C(100, m). Now, let's consider the opposite scenario where none of the numbers drawn are consecutive. We can think of this as choosing m numbers from the set {1, 11, 21, Show more…
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