SOLUTION: Assume I shuffle together two standard (52 card) decks of playing cards: If I draw a card from the deck, replace this card, reshuffle, and draw a second card from the deck, what i

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Question 1152860: Assume I shuffle together two standard (52 card) decks of playing cards:
If I draw a card from the deck, replace this card, reshuffle, and draw a second card from the deck, what is the probability that I will draw two cards that are either threes or twos? (Hint: There are 4 twos and 4 threes in a single standard deck.)
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The shuffling is irrelevant; and since the first card is replaced before the second card is drawn, the probability of getting a 2 or 3 is the same on both draws. 8 of the 52 cards are twos or threes:



ANSWER: P(both cards are twos or threes) = 4/169
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

P(both are twos) =  =  =  = .


P(both are threes) =  =  =  = .


P(under the question) = P(both are twos) + P(both are threes) =  +  = .    ANSWER


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