Question

An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any other, find the probability that the sum of the dots is less than 4?

Answer 1

To find the probability that the sum of the dots is less than 4 when rolling two dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. The probability is 1/12.

Step-by-step explanation:

To find the probability that the sum of the dots is less than 4, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

The favorable outcomes are when the sum of the dots is 2 or 3. There are 2 ways to roll a sum of 2 (1+1) and 1 way to roll a sum of 3 (1+2 or 2+1).

The total number of possible outcomes is the number of combinations when rolling two dice. Since each die has 6 sides, there are 6 possibilities for the first die and 6 possibilities for the second die, resulting in a total of 6*6=36 possible outcomes.

Therefore, the probability that the sum of the dots is less than 4 is (2+1)/36 = 3/36 = 1/12.