Probability

Question

A pair of dice is rolled. What is the probability of getting a sum less than 4?

Answer 1

There are

6 x 6 = 36 possible outcomes

of which only 3 generate a sum less than 4: (1,1) (1,2) and (2,1)

that means that the probability here is 3/36 = 1/12

Answer 2

3/36 = 1/12

The easiest way to see this is to make a table of the sample space and count the numbers less than 4.

That is, make an addition table with 1 to 6 horizontal and 1 to 6 vertical and put the sum at the intersection of each row and column.