SOLUTION: How do you solve: Two cards are drawn, without replacement, from a standard 52-card deck. Find the probability that both cards are the same color. Thank you!

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 371923: How do you solve: Two cards are drawn, without replacement, from a standard 52-card deck. Find the probability that both cards are the same color. Thank you! Found 2 solutions by stanbon, Fombitz:Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!How do you solve: Two cards are drawn, without replacement, from a standard 52-card deck. Find the probability that both cards are the same color. ---- Pick a color: 2 ways Pick two cards without replacement: 26C2 = (26*25)/(1*2) = 325 ---- Pick two cards randomly: 52C2 ------------------------------------------------ P(2 cards same color) = [2*325]/[52C2] = 0.4902 ---- Cheers, Stan H. Answer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!1st Red: 2nd Red: Since there are the same number of reds and blacks. So the probability that the cards are the same color is,