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

Step 1: Determine the total number of outcomes

When two dice are thrown, each die has 6 possible outcomes (1, 2, 3, 4, 5, 6). To find the total number of possible outcomes when throwing two dice, we multiply the number of outcomes for each die.

Step 2: Identify favorable outcomes

We are looking for the probability of getting the same number on both dice. The pairs where both dice show the same number are (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6). There are 6 such favorable outcomes.

Step 3: Calculate the probability

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, we divide the 6 favorable outcomes by the 36 total outcomes.

Step 4: Simplify the probability

The fraction $\frac{6}{36}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6. This results in the simplified probability of $\frac{1}{6}$.

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