document.write( "Question 588759: What are the solutions: After several rounds of a card game, a deck of playing cards contains, 10 red-suited cards and 15 black-suited cards. Terry draws cards from this deck without replacement until she has either two red cards or two black cards. To the nearest tenth of a percent, what is the probability that Terry draws two red cards? \n" ); document.write( "

Algebra.Com's Answer #374634 by edjones(8007) $\"\"$ $\"About$

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(10C2)/25C2=45/300=0.15 Probability that the first 2 cards are red.
\n" ); document.write( "(15C2)/25C2=105/300=0.35 Probability that the first 2 cards are black.
\n" ); document.write( "1.00-.35-.15=.50 probability one card is red and the other black after two cards are drawn.
\n" ); document.write( "10/25 * .50 = .20 probability one card is red and the other black after two cards are drawn AND the card drawn is red.
\n" ); document.write( ".15 + .20 = .35 the probability that Terry draws two red cards.
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