SOLUTION: If two cards from a deck of 52 cards are drawn in such a way that the card is replaced after the first draw, what is the probability that both selected cards are not face cards?

Question 996791: If two cards from a deck of 52 cards are drawn in such a way that the card is replaced after the first draw, what is the probability that both selected cards are not face cards?
Answer by anand429(138) (Show Source): You can put this solution on YOUR website!
Let us find the probability that both selected cards are face cards.
Total face cards in 52 card suit = 12
SO probability of face card on 1st draw = 12/52
After replacing of first card, probability of face card on 2nd draw = 12/52
So probability that both selected cards are face card = (12/52)*(12/52)
= 9/169
So, probability that both selected cards are not face card = 1 - 9/169
= 160/169
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