Two unbiased dice are rolled once. Find the probability of getting a doublet.
- $\dfrac{1}{6}$
- $\dfrac{3}{4}$
- $\dfrac{2}{3}$
- $\dfrac{1}{5}$
Reveal answer
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A
Correct answer
Explanation
A doublet occurs when both dice show the same number. There are 6 doublets (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6) out of 36 total possible outcomes. The probability is 6/36, which simplifies to 1/6.
AI explanation
Using the classical definition of probability, the probability equals the favorable outcomes divided by the total possible outcomes. When two unbiased dice are rolled, the total number of possible outcomes is 36, and a doublet occurs when both dice show the same number (1,1), (2,2), (3,3), (4,4), (5,5), or (6,6). Thus, the probability of getting a doublet is the 6 favorable outcomes divided by 36 total outcomes, which simplifies to 1/6.