Determine the probability that the sum of the two dice is 3.

Question

Two fair dice are rolled.

Determine the probability that the sum of the two dice is 3.

Answer 1

Step 1:

Two dice are thrown at random.

The number of possible outcomes of one die is 6 .   (Since it has 6 faces)

The Total number of outcomes when two dice are thrown is .

Let us consider random event E, the sum of the two numbers on the dice is 3.

The sum 3 with the two dice is possible in two cases : = 2 .

Probability of an event E is .

Solution:

The probability that sum of the two numbers on the dice 3 is .