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There are 12 face cards (kings, queens and jacks) and the total number of cards in a deck is 52, then the probability of drawing a face card is:

P(face card) = 12/52 = 3/13

Since there is a replacement after the first card is drawn, the total number of cards still 52, the probability of getting a 2 knowing that there are 4 cards with a 2 in a deck is:

P(2 card) = 4/52 = 1/13

Then, the probability is the multiplication of P(face card) and P(2 card) , then we get:

P = P(face card)×P(2 card) = (3/13)×(1/13) = 3/169

the answer is 3/169, which is equivalent to 1.8%

User Morfioce
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