Question

Two dice are thrown together. The probability of getting the same number on both dice is

• A. \(\frac{1}{2}\)
• B. \(\frac{1}{3}\)
• C. \(\frac{1}{6}\)
• D. \(\frac{1}{12}\)

Answer 1

The Correct Option is C

When two dice are thrown together, each die has 6 faces. The total number of possible outcomes is: \[ 6 \times 6 = 36 \] The favorable outcomes for getting the same number on both dice are: \[ (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) \] There are 6 favorable outcomes. Therefore, the probability of getting the same number on both dice is: \[ \frac{6}{36} = \frac{1}{6} \]

The correct option is (C): \(\frac{1}{6}\)