document.write( "Question 1095413: If you have a fair 6 sided die and you roll it three times, what is the probability that all three of the rolls are different? \n" ); document.write( "
Algebra.Com's Answer #709964 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here are two approaches:\r\n" );
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document.write( "1. The probability that your first roll will come up with some number \r\n" );
document.write( "is 1, for it's certain.\r\n" );
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document.write( "The probability that the second roll will not match whatever number you \r\n" );
document.write( "rolled first is 5/6.\r\n" );
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document.write( "The probability that the third roll will not match either the number you \r\n" );
document.write( "rolled first or the number you rolled second is 4/6.\r\n" );
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document.write( "Answer: 1*(5/6)*(4/6) = 20/36 = 5/9\r\n" );
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document.write( "Another way to do it:\r\n" );
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document.write( "2. There are 6*6*6 = 216 ways the three dice could come up.\r\n" );
document.write( "There are 6P3 = 6*5*4 = 120 ways they could all three be different.\r\n" );
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document.write( "The probability is 120 ways out of 216 or 120/216 which reduces\r\n" );
document.write( "to  5/9.\r\n" );
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document.write( "Edwin
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