Question

Two dice are thrown together 4 times. The probability that both dice will show same numbers twice is:

• A. \( \frac{25}{36} \)
• B. \( \frac{25}{216} \)
• C. \( \frac{1}{3} \)
• D. None of these

Hint:

When rolling dice multiple times, use the probability formula for independent events to calculate the overall probability.

Answer 1

The Correct Option is A

Step 1: Analyze the outcomes.
The probability of both dice showing the same number in one trial is \( \frac{1}{6} \). Therefore, the probability of showing the same numbers twice in 4 throws is \( \frac{25}{36} \).
Thus, the correct answer is (1).