SOLUTION: If you are dealt two cards successively ( with replacement of the first) from a standard 52-card deck, find the probability of getting a face card on the first card and an ace on t

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Question 62810: If you are dealt two cards successively ( with replacement of the first) from a standard 52-card deck, find the probability of getting a face card on the first card and an ace on the second.
Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
If you are dealt two cards successively ( with replacement of the first) from a standard 52-card deck, find the probability of getting a face card on the first card and an ace on the second.
The probability of a face card on the first draw = 12/52 because there are 12 face cards (J,Q,K x 4 of each) and 52 cards in the deck.
The card is put back and now you want to draw an ace. There are 4 aces out of the 52 cards in the deck so the probability of drawing an ace = 4/52.
So, the combined probability = %2812%2F52%29%284%2F52%29+=+%283%2F13%29%281%2F13%29+=+3%2F169+ = about
1.78%.