Two fair dice are rolled and the sum rolled is recorded. Find the probability that the sum is 4.
A) 1/3
B) 1/12
C) 4/11
D) 1/9

Question

Quizplus · Accepted Answer

To roll a sum of 4, there are three possible outcomes: 1+3, 2+2, and 3+1. Each roll of a fair die has six equally likely outcomes, so there are 6 x 6 = 36 possible outcomes when two dice are rolled. Since there are three ways to roll a sum of 4, the probability of rolling a sum of 4 is 3/36 = 1/12. Therefore, the answer is B.

Two Fair Dice Are Rolled and the Sum Rolled Is