Just for fun
It'd be even more fun if you replaced "1-2-3-4-5-6" with "14-17-26-51-55-36". (Whenever I play lotteries I always choose combinations like 1-2-3-4-5-6, and I love to see the shocked faces of the people I tell, tell them that it's no less likely than any other combination but it's at least easier to remember, and see their perplexed faces for the couple seconds it takes them to realize I'm right. Someone told me that if such a combination ever won they'd immediately think of me. (Now that I think about it, choosing a Schelling point does have the disadvantage that should I win, I'd have to split the jackpot with more people, but I don't think that's ever gonna happen anyway.))
more likely to happen first
Dunno how you would count the (overwhelmingly likely) case where both Mega Millions and the papacy cease to exist without either of those events happening first, but let's pretend you said "more likely to happen in the next 10 years"... Event 1 ought to happen 0.6 times per million years in average; I dunno about the probability per unit time for Event 2, but it's likely about two orders of magnitude larger.
(Now that I think about it, choosing a Schelling point does have the disadvantage that should I win, I'd have to split the jackpot with more people, but I don't think that's ever gonna happen anyway.))
With this in mind I think I would choose combinations that match the pattern /[3-9][0-9][3-9][0-9][1-6][0-9]/. Six digit numbers look too much like dates!
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