Two uniform dice marked 1 to 6 are thrown together The probability that the sum is odd is
- $\displaystyle\frac{1}{4}$
- $\displaystyle\frac{1}{3}$
- $\displaystyle\frac{1}{2}$
- $\displaystyle\frac{1}{12}$
Reveal answer
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C
Correct answer
Explanation
There are 36 possible outcomes. Sum is odd if one die is even and one is odd. Even-Odd (3*3=9) or Odd-Even (3*3=9). Total 18 outcomes. Probability = 18/36 = 1/2.
AI explanation
When two dice are thrown, the sum of the points is odd if one die shows an even number and the other shows an odd number. The number of ways to get an even number on the first die and an odd number on the second die is 3 times 3, which equals 9, and the number of ways to get an odd number on the first die and an even number on the second die is also 9. The total number of favorable outcomes is 18, and dividing by the 36 total possible outcomes gives 18/36. This simplifies to 1/2.