Question:

Two dice are rolled together. The probability of getting a doublet is:

Updated On: Dec 12, 2024
  • \(\frac{2}{36}\)
  • \(\frac{1}{36}\)
  • \(\frac{1}{6}\)
  • \(\frac{5}{6}\)
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The Correct Option is C

Solution and Explanation

A doublet refers to a situation where both dice show the same number. When two dice are rolled, there are a total of \(6 \times 6 = 36\) possible outcomes. The doublets are:

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

Thus, there are 6 favorable outcomes for getting a doublet. Therefore, the probability is:

\[ \frac{6}{36} = \frac{1}{6} \]

So, the correct answer is \(\frac{1}{6}\).

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