document.write( "Question 908514: suppose a single fair die is rolled. find the probability that it is a 6, given that it is an even number \n" ); document.write( "

Algebra.Com's Answer #551086 by Edwin McCravy(20060) $\"\"$ $\"About$

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suppose a single fair die is rolled. find the probability that it is a 6, given that it is an even number.
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document.write( "Two ways to a conditional probability: \r\n" );
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document.write( "1. By reducing the sample space\r\n" );
document.write( "2. By formula\r\n" );
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document.write( "First, let's do it by reducing the sample space:\r\n" );
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document.write( "The original sample space is {1,2,3,4,5,6}\r\n" );
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document.write( "We are given that it is an even number.\r\n" );
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document.write( "So remove every outcome from the sample space that does not jibe\r\n" );
document.write( "with what is given.  So we remove the 1, the 3 and the 5.  So\r\n" );
document.write( "the reduced smaple space is {2,4,6}\r\n" );
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document.write( "So the conditional probability of 6 is 1 out of 3 or .\r\n" );
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document.write( "Now we'll do it by the formula method using only the original sample space:\r\n" );
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document.write( "Probability that it is 6 and even = 1 way out of 6 or \r\n" );
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document.write( "Probability that it is even = 3 ways out of 6 or  or \r\n" );
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document.write( "Edwin

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