document.write( "Question 852150: Two fair dice are rolled. Given that the dice land on different numbers, what is the probability that at least one land on 3. \n" ); document.write( "
Algebra.Com's Answer #513190 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here are all 36 possible dice rolls:\r\n" );
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document.write( "(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
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document.write( "(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) \r\n" );
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document.write( "(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) \r\n" );
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document.write( "(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) \r\n" );
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document.write( "(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) \r\n" );
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document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) \r\n" );
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document.write( "Since we are given that the dice land on different numbers,\r\n" );
document.write( "we reduce the sample space by eliminating all the cases \r\n" );
document.write( "where the numbers are the same, so we only have this\r\n" );
document.write( "reduced sample space of 30 dice rolls.\r\n" );
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document.write( "--------------------------------------------------------\r\n" );
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document.write( "      (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
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document.write( "(2,1)       (2,3) (2,4) (2,5) (2,6) \r\n" );
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document.write( "(3,1) (3,2)       (3,4) (3,5) (3,6) \r\n" );
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document.write( "(4,1) (4,2) (4,3)       (4,5) (4,6) \r\n" );
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document.write( "(5,1) (5,2) (5,3) (5,4)       (5,6) \r\n" );
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document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) \r\n" );
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document.write( "Now we'll color all the 3's red\r\n" );
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document.write( "-------------------------------------------------\r\n" );
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document.write( "      (1,2) (1,3) (1,4) (1,5) (1,6)\r\n" );
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document.write( "(2,1)       (2,3) (2,4) (2,5) (2,6) \r\n" );
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document.write( "(3,1) (3,2)       (3,4) (3,5) (3,6) \r\n" );
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document.write( "(4,1) (4,2) (4,3)       (4,5) (4,6) \r\n" );
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document.write( "(5,1) (5,2) (5,3) (5,4)       (5,6) \r\n" );
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document.write( "(6,1) (6,2) (6,3) (6,4) (6,5) \r\n" );
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document.write( "------------------------------------------------\r\n" );
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document.write( "Now count the red threes.  I count 10.  Did I color all the 3's red?\r\n" );
document.write( "So that's 10 out of 30.  \"Out of\" means \"over\" so the probability is\r\n" );
document.write( "10 over 30 or \"10%2F30\" or \"1%2F3\".\r\n" );
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document.write( "Edwin
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