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13 December, 17:47

Someone draws a card at random from a deck, and then, without replacing the first card, draws a second card. What is the probability that both cards will be aces?

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  1. 13 December, 18:00
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    Event A is that the first card is an ace. Since 4 of the 52 cards are aces, P (A) = 4/52 = 1/13. Given that the first card is an ace, what is the probability that the second card will be an ace as well? Of the 51 remaining cards, 3 are aces. Therefore, P (B|A) = 3/51 = 1/17, and the probability of A and B is 1/13 * 1/17 = 1/221. The same reasoning is applied to marbles in a jar
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