Well, your coworker gets it wrong. Every combination of numbers has the same chance of winning. So if you’ve got 2 tickets instead of 1, your chance of winning is 2/x and not 1/x, which is in fact a doubling of your chances.
Even if those tickets are for 1,2,3,4,5,6 and 1,2,3,4,5,7, or 1,2,3,4,5,6 or 10,11,12,13,14,15, doesn’t matter.
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