Q6.When two dice are thrown, find the probability that difference of the points on the die is 2 or3?

To solve this problem, we first need to understand the total number of outcomes when two dice are thrown. Since a die has 6 faces, the total number of outcomes is 6*6 = 36.

Next, we need to find the favorable outcomes where the difference of points on the two dice is 2 or 3.

For a difference of 2, the pairs could be (1,3), (2,4), (3,5), (4,6), (3,1), (4,2), (5,3), (6,4). So, there are 8 outcomes.

For a difference of 3, the pairs could be (1,4), (2,5), (3,6), (4,1), (5,2), (6,3). So, there are 6 outcomes.

So, the total number of favorable outcomes is 8 + 6 = 14.

The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes.

So, the probability that the difference of the points on the two dice is 2 or 3 is 14/36 = 7/18.