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Probability
Addition Theorem
Premium Question
Grade 12

Question:

A fair die is rolled twice. The probability that the sum of the two numbers obtained is even is:
(1) $\frac{1}{2}$
(2) $\frac{1}{3}$
(3) $\frac{5}{12}$
(4) $\frac{7}{12}$

Step-by-Step Solution

Key Concept: The sum is even precisely when both throws give even numbers or both give odd numbers — find the probability of each of these two mutually exclusive cases and add them.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)

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