an dice is tossed twicsd and difference detween number was rotted find the probability of a difference of 3?

Answer 1

No matter what the first number was, it is always the case that exactly one out of the six possibilities for the second through yields a difference of 3. (Just run through the numbers 1-6 and check that.)

Thus, the probability is 1/6.

Answer 2

The possible combinations to produce a difference of 3 are:

6-3 (3-6)

5-2 (2-5)

4-1 (1-4)

The total combinations possible is 6*6 = 36

so 6/36 = 1/6 = 16.667% is the probability of having a difference of 3.