Question

Two dice are rolled. What is the probability that the sum of the numbers rolled is either 2 or 4? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answer 1

To answer this question we will use the following expression to compute the theoretical probability that an event occurs:

`\frac{number\text{ of favorable cases}}{number\text{ of total cases}}.`

Now, the possible outcomes of the sum are:

Notice that there are 4 favorable cases, and 36 cases in total, therefore, the probability that the sum of the numbers rolled is either 2 or 4 is:

`(4)/(36)\text{.}`

Simplifying the above result we get:

`(1)/(9)\text{.}`

Answer:

`(1)/(9)\text{.}`