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January 29, 2015

January 29, 2015

Posted by **deborah** on Sunday, September 14, 2008 at 5:45pm.

- algebra -
**Jennifer**, Wednesday, October 24, 2012 at 1:49pmIt doesn't matter whether the 3 appears or not on the dice in the first roll. What matters is whether the sum of the winning roll is even or odd.

The sum will be odd if one dice is an even number, and one dice is an odd number

The sum will be even if both dice are even or both dice are odd.

The probability of any dice being even is 1/2

The probability of any dice being odd is 1/2

The probability of the first dice being even and the second dice being even is 1/2 * 1/2 = 1/4

The probability of the first dice being odd is 1/2 * 1/2 = 1/4

The probability of the first dice being even and the second being odd is 1/2*1/2 = 1/4

The probability of the first dice being odd and the second being even is 1/2*1/2 = 1/4

Therefore the probability of an even sum (even, even) or (odd,odd) is 1/4+ 1/4 = 1/2

And the probability of an odd sum (even, odd) or (odd, even) is 1/4+1/4 = 1/2

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