document.write( "Question 1180752: What is the probability that three number cubes rolled at the same time will show three different numbers? \n" ); document.write( "

Algebra.Com's Answer #810531 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Even though the problem says the three dice are rolled at the same time, you can think of them as being rolled one at a time. Then find the answer to the question by finding the probability that each successive roll gives you the desired outcome.

\n" ); document.write( "The first roll can be any of the 6 numbers:
\n" ); document.write( "P(okay after 1st roll) = 6/6 = 1.

\n" ); document.write( "The second roll must be one of the 5 remaining numbers:
\n" ); document.write( "P(second roll okay) = 5/6; P(okay after second roll) = (1)(5/6) = 5/6.

\n" ); document.write( "The third roll must be one of the 4 remaining numbers:
\n" ); document.write( "P(third roll okay) = 4/6; P(okay after third roll) = (5/6)(4/6) = 20/36 = 5/9.

\n" ); document.write( "ANSWER: 5/9

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