Question

Use the bar graph to find the experimental probability of rolling a 2 or 6.

Answer 1

Given the bar graph shown in the exercise, you need to remember that the formula for calculating the Experimental Probability is:

$P(event)=\frac{Number\text{ }of\text{ }times\text{ }event\text{ }occurs}{Total\text{ }number\text{ }of\text{ }trials}$

In this case, since you need to find the Experimental Probability of rolling a 2 or 6, you can set up that:

$P=P_2+P_6$

According to the bar graph, the "Times rolled" that corresponds to 2 is 16, and the one that corresponds to 6 is 20 times rolled.

Notice that the sum of the values of "Times rolled" for all the numbers rolled, is:

$Total=13+16+15+17+19+20=100$

Therefore, you can determine that:

$P=\frac{16}{100}+\frac{20}{100}$

Adding the fractions and simplifying, you get:

$\begin{gathered} P=\frac{16+20}{100} \\ \\ P=\frac{36}{100} \\ \\ P=\frac{9}{25} \end{gathered}$

Hence, the answer is:

$P=\frac{9}{25}$