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Question

Mathematics Question on Probability

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

A

236\frac{2}{36}

B

136\frac{1}{36}

C

16\frac{1}{6}

D

56\frac{5}{6}

Answer

16\frac{1}{6}

Explanation

Solution

A doublet refers to a situation where both dice show the same number. When two dice are rolled, there are a total of 6×6=366 \times 6 = 36 possible outcomes. The doublets are:

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

636=16\frac{6}{36} = \frac{1}{6}

So, the correct answer is 16\frac{1}{6}.