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.

Respuesta :

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

[tex]\frac{number\text{ of favorable cases}}{number\text{ of total cases}}.[/tex]

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:

[tex]\frac{4}{36}\text{.}[/tex]

Simplifying the above result we get:

[tex]\frac{1}{9}\text{.}[/tex]

Answer:

[tex]\frac{1}{9}\text{.}[/tex]

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