Two balanced dice are rolled.Find the probability that the numbers on two dice are equal.

of the 36 possible outcomes, 6 are successes, so ...

Please show the method....

To find the probability that the numbers on two dice are equal, we need to determine the total number of possible outcomes and the number of desired outcomes.

First, let's calculate the total number of possible outcomes when two dice are rolled. Each die has six faces, so the total number of outcomes when two dice are rolled is 6 * 6 = 36.

Now, let's determine the number of desired outcomes. There are six possible outcomes where the numbers on the two dice are equal: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

Therefore, the number of desired outcomes is 6.

To find the probability, we divide the number of desired outcomes by the total number of possible outcomes:

Probability = Number of desired outcomes / Total number of possible outcomes

Probability = 6 / 36

Simplifying, we get:

Probability = 1 / 6

So, the probability that the numbers on two dice are equal is 1/6 or approximately 0.1667.