document.write( "Question 843064: If you have 3 number cubes, what is the probability that you will roll three of a kind or a sum that is an odd number?
\n" ); document.write( "I have tried to solve this problem but I don't understand how to figure out the probability of rolling 3 of a kind. \n" ); document.write( "

Algebra.Com's Answer #507906 by Fombitz(32388) $\"\"$ $\"About$

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Look at all of the possible outcomes.
\n" ); document.write( "111
\n" ); document.write( "112
\n" ); document.write( "113
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\n" ); document.write( ".
\n" ); document.write( "665
\n" ); document.write( "666
\n" ); document.write( "There are $\"6%5E3\"$ or $\"216\"$ of them.
\n" ); document.write( "Three of a kind outcomes are {111,222,333,444,555,666}.
\n" ); document.write( "There are 6 of those.
\n" ); document.write( " $\"P%283+of+a+kind%29=6%2F216=1%2F36\"$
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\n" ); document.write( "When you sum the numbers, half of the 216 sum to even, half sum to odd.
\n" ); document.write( " $\"P%28odd%29=108%2F216=1%2F2\"$
\n" ); document.write( "So to sum the probability of 3 of a kind or sum that's odd, add the probabilities. Remember to remove the 3 of a kind sums that are odd (111,333,555) so you don't count those twice (3/216 outcomes).
\n" ); document.write( " $\"P=6%2F216%2B108%2F216-3%2F216=111%2F216\"$
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