Question

A standard die is rolled. Find the probability that the number rolled is odd.

Answer 1

Answer

Explanation

To determine the probability that the number rolled is odd using a standard die, we first list the total outcomes as shown below:

1,2,3,4,5,6

As we can see, the odd numbers are:

1,3,5

This means that the total favorable outcomes is 3.

Now, we use the formula:

$Probability=\frac{favorable\text{ outcomes}}{Total\text{ outcomes}}$

We plug in what we know:

$\begin{gathered} Probab\imaginaryI l\imaginaryI ty=\frac{favorable\text{ outcomes}}{Total\text{ outcomes}} \\ =\frac{3}{6} \\ Simplify \\ Probab\mathrm{i}l\mathrm{i}ty=\frac{1}{2} \end{gathered}$

Therefore, the probability that the number rolled is odd is 1/2.