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Mathematics 18 Online
OpenStudy (anonymous):

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a red card and then a black card?

OpenStudy (bahrom7893):

Hmm how many black cards are in a deck? half right?

OpenStudy (anonymous):

Yes, half

OpenStudy (bahrom7893):

There should be 26 black and 26 red cards, so probability that she gets a red on the first one is: 26/52

OpenStudy (anonymous):

which is 1/2

OpenStudy (bahrom7893):

Then she replaces the card, so we have 52 cards again

OpenStudy (bahrom7893):

So the answer's: (1/2)*(1/2)=1/4

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