SOLUTION: You pull a card out of a standard 52-card deck and you pull one card out of another standard deck. What is the probability of pulling a 3 at least once?

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Question 556898: You pull a card out of a standard 52-card deck and you pull one card out of another standard deck. What is the probability of pulling a 3 at least once?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You pull a card out of a standard 52-card deck and you pull one card out of another standard deck. What is the probability of pulling a 3 at least once?
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Each deck has 4 threes.
getting one 3 is 1/13 + 1/13
getting two is 1/13 * 1/13 = 1/169

Then 2/13 - 1/169 = 25/169. It's subtracted because getting one 3 is included in getting two 3's.
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25/169