Multiple choice

Two dices are thrown simultaneously. What is the probability of getting two numbers whose sum is odd?

  1. 1 2

  2. 1 36

  3. 1 4

  4. 19 36

  5. 3 2
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A Correct answer
Explanation

A sum is odd when one die is odd and the other is even. This happens in 3*3 + 3*3 = 18 of 36 equally likely outcomes, giving probability 1/2. The option '1 2' represents the fraction 1/2.

AI explanation

When two dice are thrown, the sum of the two numbers is odd only if one number is even and the other is odd. Each die has 3 even and 3 odd outcomes, giving 3 times 3, or 9 ways to get an even then an odd, and 9 ways to get an odd then an even, for a total of 18 successful outcomes out of 36 possible outcomes. Therefore, the required probability is 18/36, which simplifies to 1/2.

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