Question

Determine the probability of getting a `nine' or `ten' on a single throw of two dice simultaneously ?

• A. 2/9
• B. 1/5
• C. 7/36
• D. 2/7
• E. 2/13

Hint:

For two-dice problems, list all pairs systematically. Sum = 9 has 4 outcomes; sum = 10 has 3 outcomes. Total = 7 out of 36.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Find the probability that the sum of two dice equals 9 or 10.

Step 2: Detailed Explanation:
Total outcomes = $6 \times 6 = 36$.
Sum = 9: (3,6),(4,5),(5,4),(6,3) = 4 ways.
Sum = 10: (4,6),(5,5),(6,4) = 3 ways.
Total favourable = $4 + 3 = 7$.
Probability $= \dfrac{7}{36}$.

Step 3: Final Answer:
The probability is $\dfrac{7}{36}$.