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Never 0 mod 3 (Posted on 2016-03-17) Difficulty: 3 of 5
Let k be a positive integer. Suppose that the integers 1, 2, 3, ...3k, 3k + 1 are written down in random order.

What is the probability that at no time during this process, the sum of the integers that have been written up to that time is divisible by 3?

Source: Putnam competition

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
re(5): SolutionBrian Smith2016-03-17 23:31:12
re(4): SolutionCharlie2016-03-17 23:21:55
re(3): SolutionCharlie2016-03-17 22:33:33
re(2): SolutionCharlie2016-03-17 21:34:14
re: SolutionCharlie2016-03-17 14:47:17
Some ThoughtsValues for the first 5 kCharlie2016-03-17 14:39:24
SolutionSolutionBrian Smith2016-03-17 14:05:35
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