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

To find the probability of getting the same number on both dice, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Step 1: Determine the total number of possible outcomes: When two dice are thrown together, each die has 6 possible outcomes (numbers 1 to 6). Since there are two dice, the total number of possible outcomes is 6 x 6 = 36.

Step 2: Determine the number of favorable outcomes: To get the same number on both dice, there is only one favorable outcome for each number (e.g., both dice showing 1, both dice showing 2, etc.). Since there are 6 possible numbers, the number of favorable outcomes is 6.

Step 3: Calculate the probability: The probability of an event is given by the formula: Probability = Number of favorable outcomes / Total number of possible outcomes.

In this case, the number of favorable outcomes is 6 and the total number of possible outcomes is 36. Therefore, the probability of getting the same number on both dice is 6/36, which simplifies to 1/6.

So, the probability of getting the same number on both dice is 1/6.