document.write( "Question 1205003: In a game room, there are three decks of cards: Deck 1 contains 5 red cards and 3 black cards, Deck 2
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document.write( "contains 3 red cards and 1 black card, and Deck 3 contains 4 red cards and 2 black cards. If a deck of
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document.write( "cards is selected at random, and then a card is drawn from the chosen deck, find the probability that
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document.write( "the drawn card will be red. \n" );
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Algebra.Com's Answer #841588 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! In a game room, there are three decks of cards: Deck 1 contains 5 red cards and \n" ); document.write( "3 black cards, Deck 2 contains 3 red cards and 1 black card, and Deck 3 contains \n" ); document.write( "4 red cards and 2 black cards. If a deck of cards is selected at random, and \n" ); document.write( "then a card is drawn from the chosen deck, find the probability that the drawn \n" ); document.write( "card will be red. \n" ); document.write( " \r\n" ); document.write( "Let's suppose you play this games many times.\r\n" ); document.write( "\r\n" ); document.write( "1/3 of those times you will select Deck 1, and 5/8ths of those times when you\r\n" ); document.write( "select Deck 1, you'll draw a red card. So that's what's happens (1/3)(5/8) =\r\n" ); document.write( "5/24ths of ALL the many times you play.\r\n" ); document.write( "\r\n" ); document.write( "1/3 of those times you will select Deck 2, and 3/4ths of those times when you\r\n" ); document.write( "select Deck 2, you'll draw a red card. So that's what's happens (1/3)(3/4) =\r\n" ); document.write( "5/24ths of ALL the many times you play.\r\n" ); document.write( "\r\n" ); document.write( "1/3 of those times you will select Deck 3, and 4/6ths or 2/3rds of those times\r\n" ); document.write( "when you select Deck 3, you'll draw a red card. So that's what's happens \r\n" ); document.write( "(1/3)(2/3) = 2/9ths of ALL the many times you play.\r\n" ); document.write( "\r\n" ); document.write( "So 5/24ths + 1/4th + 2/9ths = 49/72nds of ALL those times you'll draw a red card.\r\n" ); document.write( "\r\n" ); document.write( "Answer 49/72.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |