[beagle3]

It's no worse than a single world interpretation: These things happen all the time, the branch of math that deals with them is called Large Deviation Theory (and it's closely related to information theory).

One of the corollaries/interpretations of Sanov's theorem is that, generally speaking, when faced with an astonishingly improbable outcome (e.g. flipping 9,000 heads and 1.000 tails out of 10,000 independent coin flips), no statistical test can differentiate between "that improbable occurence with a fair coin" and "an unfair coin" - the fair coin, when it does something improbable, with have (with overwhelming probability) a specific tilted distribution that looks unfair.

[platz]

But in single interpretation only one outcome happens on a trial. The full distribution does not manifest on a single draw. In MWI all the possibilities occur, which is different

[Sharlin]

Somebody usually wins the lottery. That doesn't change the fact that it's really unlikely for any given player to win the jackpot.

[platz]

I guess you win. MWI is really not different from classical probability in any way.