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counting and probability junior

Problem

When rolling two fair, standard six-faced dice, what is the probability of rolling the same number on both dice? Express your answer as a common fraction.
Solution
No matter what the result of the first roll is, there are 6 equally likely possibilities for the second roll, only one of which is the same as the first roll. Therefore, the probability that the dice show the same number is .
Final answer
\frac{1}{6}