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That's not how statistics work.
Leta say you're on your 6:th shot on option A.
For you to even get there, it requires all previous attempts to be in your favor. You're looking at events that all have to happen in a favorable order. And that is as follows
5/6 chance you live after the first time. (5/6)^2 chance you live after the second. (Because you have to survive the first) (5/6)^3 chance you live after the third. (Because you have to survive the first AND the second) .... and so on until (5/6)^6 ~ 33%
Think about flipping a coin. Do you really think getting 6 heads in a row is 50/50? The coin is "reset" between each flip. But it's not a 50/50 chance to get 6 heads in a row. If you don't believe me. Try it and see. According to statistics. It will take you 64 attempts to get 6 heads in a row.