SOLUTION: A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event. The sum of the numb

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Question 524118: A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event.
The sum of the numbers is an odd number.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!


It's obvious that half the possible rolls will have an odd sum
and the other half will have an even sum. So the probability
is obviously 1%2F2. Or another way to explain it is:
The rolls colored red below have an odd sum and so the probability
of rolling one of the red rolls is 18 out of the 36 possible rolls
which is 18%2F36 which reduces to 1%2F2:
⚀⚀ ⚀⚁ ⚀⚂ ⚀⚃ ⚀⚄ ⚀⚅
⚁⚀ ⚁⚁ ⚁⚂ ⚁⚃ ⚁⚄ ⚁⚅
⚂⚀ ⚂⚁ ⚂⚂ ⚂⚃ ⚂⚄ ⚂⚅
⚃⚀ ⚃⚁ ⚃⚂ ⚃⚃ ⚃⚄ ⚃⚅
⚄⚀ ⚄⚁ ⚄⚂ ⚄⚃ ⚄⚄ ⚄⚅
⚅⚀ ⚅⚁ ⚅⚂ ⚅⚃ ⚅⚄ ⚅⚅
Edwin