document.write( "Question 260011: There are three different kinds of socks in a bag: red, blue, and yellow. The probability of choosing a red sock is 1/5. If there are twice as many blue socks as red socks, what is the probability of choosing a yellow sock? \n" ); document.write( "

Algebra.Com's Answer #191527 by Edwin McCravy(20062) $\"\"$ $\"About$

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There are three different kinds of socks in a bag: red, blue, and yellow. The probability of choosing a red sock is 1/5. If there are twice as many blue socks as red socks, what is the probability of choosing a yellow sock?
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document.write( "th of them are red, ths or them are blue.\r\n" );
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document.write( "That means ths of them are either red or blue, so\r\n" );
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document.write( "the remaining  have to be yellow, so the probability\r\n" );
document.write( "of getting a yellow sock is ths.\r\n" );
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document.write( "Or you could look at it this way:   \r\n" );
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document.write( "Suppose there are R red socks, B blue socks and Y yellow socks.\r\n" );
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document.write( "Then there are R+B+Y socks in the bag.\r\n" );
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document.write( "Since the probability of getting a red sock is ,\r\n" );
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document.write( "Cross-multiplying:\r\n" );
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document.write( "Since there are twice as many blue socks as red socks, \r\n" );
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document.write( "so if we substitute that:\r\n" );
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document.write( "So there are twice as many yellow socks as red socks,\r\n" );
document.write( "so you're twice as likely to select a yellow one as a\r\n" );
document.write( "red one, so twice  is .\r\n" );
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document.write( "Answer: \r\n" );
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document.write( "Checking: There could be just 5 socks in the bag, 1 red ones,\r\n" );
document.write( "2 blue ones and 2 yellow ones.  There are twice as many blue\r\n" );
document.write( "ones than red ones, and the probability of getting a red one\r\n" );
document.write( "is , and the probability of getting a blue one is the\r\n" );
document.write( "sam as that of getting a yellow one, which is is {{2/5}}}.\r\n" );
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document.write( "Edwin

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