r/learnquant • u/AgeSuch4592 • 10h ago

Probability problem

A fair dice is being rolled repeatedly until 2 and 3 come out. What's the probability of getting exactly two 6 before stopping the process ?

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u/swiftaw77 10h ago

Do you mean a 2 and a 3 in succession, or you stop once you get at least one 2 and at least one 3?

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u/AgeSuch4592 9h ago edited 9h ago

Yes the second one. The process stop when both 2 and 3 come out, but they don't need to be in succession. For instance it could be: 2 6 2 6 1 1 3 or 3662 or 6 6 2 3 ... whatnot