document.write( "Question 316511: you roll 2 dice. whats the probability that the sum of the dice is even or the sum of the dice is less than 6? \n" ); document.write( "

Algebra.Com's Answer #226422 by Fombitz(32388) $\"\"$ $\"About$

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When you roll 2 dice, there are 36 possible outcomes.
\n" ); document.write( "Half sum to even, half sum to odd.
\n" ); document.write( "P(even sum)=18/36
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\n" ); document.write( "Ten outcomes sum to less than 6.
\n" ); document.write( "(1,1)(1,2)(1,3)(1,4)= $\"+highlight%28+2%29\"$ , $\"3\"$ , $\"highlight%284%29\"$ , $\"5\"$
\n" ); document.write( "(2,1)(2,2)(2,3)= $\"3\"$ , $\"highlight%284%29\"$ , $\"5\"$
\n" ); document.write( "(3,1)(3,2)= $\"highlight%284%29\"$ , $\"5\"$
\n" ); document.write( "(4,1)= $\"5\"$
\n" ); document.write( "P(sum < 6)=10/36
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\n" ); document.write( "From the total, we have to take out sum that are even and less than six or we would double count those.
\n" ); document.write( "There are 4 of those (highlighted in red).
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\n" ); document.write( "P(even sum or sum<6)=18/36+10/36-4/36=24/36=2/3 \n" ); document.write( "

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