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For the experiment of rolling two fair die, how do you find the probability the sum of the two die is an odd number?

Answer 1

Eva Abramson

18 out of 36 = 50%

When rolling two die or a pair of dice there are 36 possible outcomes.

In the chart we see the even outcomes in red and the odd outcomes in blue

3 = 2 5 = 4 7 = 6 9 = 4 11 = 2

Odd #s = 18

18 out of 36 = 50%

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Answer 2

Eva Adamson

To find the probability that the sum of the two fair dice is an odd number:

Determine the total number of possible outcomes when rolling two dice, which is 6 x 6 = 36.
Identify the outcomes where the sum is odd. These are the combinations: (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5).
Count the number of these outcomes, which is 18.
Divide the number of favorable outcomes (18) by the total number of outcomes (36).
The probability of rolling a sum that is an odd number is 18/36, which simplifies to 1/2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.