Question

Two dice of two different colours thrown simultaneously. Then the probability of getting two numbers whose sum is an even number is:

• A. 1/3
• B. 1/2
• C. 4/3
• D. 5/6

Hint:

In a standard dice throw, half the possible sums are even and half are odd.

Answer 1

The Correct Option is B

Step 1: Concept
Sum of outcomes on two dice.

Step 2: Analysis
Total outcomes = $6 \times 6 = 36$.
Sum is even if both dice are even (3x3 = 9 ways) or both are odd (3x3 = 9 ways).

Step 3: Calculation
Total favorable outcomes = $9 + 9 = 18$.
$P(\text{even sum}) = \frac{18}{36} = \frac{1}{2}$.

Step 4: Conclusion
The probability is 1/2. Final Answer: (B)