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Suppose that after the first encounter, the Black Widow gets more agitated and aggressive so that the probability of encountering it again goes up by

Suppose that after the first encounter, the Black Widow gets more agitated and aggressive so that the probability of encountering it again goes up by 15% with each subsequent encounter. So it's a 15% probability to touch it the first time, but once you have, then it's 30%, and if you touch it a second time, now it's 45% on the third, and so on. Now what is the probability you will get bitten if you stick your hand under the deck 3 times?

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