Question

The chance of getting a doublet in a throw of 2 dice is.

• A. \( \frac{2}{3} \)
• B. \( \frac{1}{6} \)
• C. \( \frac{5}{6} \)
• D. \( \frac{5}{36} \)

Hint:

In probability problems, always calculate the total number of possible outcomes first and then the number of favorable outcomes to find the probability.

Answer 1

The Correct Option is B

A doublet is the event in which both dice show the same number. The possible outcomes when two dice are thrown are: \[ 6 \times 6 = 36 \text{ possible outcomes}. \] The favorable outcomes for a doublet are: \[ (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6). \] Thus, there are 6 favorable outcomes. Therefore, the probability of getting a doublet is: \[ P(\text{doublet}) = \frac{6}{36} = \frac{1}{6}. \] Thus, the correct answer is option (B) \( \frac{1}{6} \).