Two unbiased dice are thrown . Find the probability that
the total of the numbers on the dice is any number from 2 to 12 , both inclusive.

Answer

To find the probability that the total of the numbers on two unbiased dice is any number from 2 to 12, we can follow these steps:

### Step 1: Determine the total number of outcomes when two dice are thrown.
When two dice are thrown, each die has 6 faces. Therefore, the total number of outcomes is calculated as follows:

\[ \text{Total outcomes} = 6 \times 6 = 36 \]

### Step 2: Identify the range of possible sums.
The possible sums when rolling two dice range from 2 (1+1) to 12 (6+6). Thus, the sums that can be obtained are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

### Step 3: Count the favorable outcomes.
Since we are looking for the probability that the sum of the numbers on the dice is any number from 2 to 12, we note that all possible sums (2 to 12) can be achieved with the outcomes of two dice. Therefore, all 36 outcomes are favorable.

### Step 4: Calculate the probability.
The probability \( P \) is given by the formula:

\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we found:

\[ P = \frac{36}{36} = 1 \]

### Conclusion:
The probability that the total of the numbers on the dice is any number from 2 to 12 is:

\[ \boxed{1} \]