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You are playing a game with a standard deck of 52 cards. You draw a single...

You are playing a game with a standard deck of 52 cards. You draw a single card. If you draw an ace, the probability that you win the game is 80%. If you draw anything other than an ace, the probability that you win the game is 20%. What is the probability that you win the game?

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Answer #1

No of aces are 4

Remaining cards are 48

Required probability is (0.8*4C1+0.2*48C1)/52C1

= 0.2461

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