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Mathematics, 20.02.2020 04:43 YoungManAlex

Unlucky Albert decides to play roulette and bet on a single square until he wins. (There are 38 squares, each equally likely.) (a) Find the probability that Albert will need to play not more than 40 rounds until he wins one. (Answer correct to three decimal places.) (b) After losing thirty rounds in a row, he thinks to himself, "I'm surely due for a win soon! Let's play just a few more." Find the probability that Albert will need to play not more than 40 rounds total until he wins one, given that he has lost 30 rounds already. (Answer correct to three decimal places.) HINT: you have to use conditional probability.

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