Question

A pair of dice is thrown once. Find the probability that both have the same number (i.e., doublet).

Answer 1

Given: A pair of fair six-sided dice is thrown once.

Step-wise calculation:

1. Total possible outcomes = 6 × 6 = 36 each die has 6 faces.

2. Favorable outcomes both dice show the same number

= (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) 

⇒ 6 outcomes

3. Probability = `"Favourable"/"Total"`

= `6/36`

= `1/6 ≈ 0.1667`

The probability of a doublet is `1/6`.