Spencer is using a cube numbered 1

Question

to 6
to conduct probability experiments. In the first experiment, he rolls the number cube 250
times. The number 1
is rolled 47
times.

Which value is the closest estimate of the experimental probability of rolling a 1
?

Answer 1

To find the experimental probability of rolling a 1, you can use the formula:

\[ \text{Experimental Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \]

In Spencer's case:

• The number of times he rolled a 1 (successful outcomes) = 47
• The total number of rolls (trials) = 250

Now, plug in the values:

\[ \text{Experimental Probability} = \frac{47}{250} \]

Now, perform the division:

\[ \frac{47}{250} = 0.188 \]

To express this as a percentage, multiply by 100:

\[ 0.188 \times 100 = 18.8% \]

Therefore, the closest estimate of the experimental probability of rolling a 1 is approximately \(0.188\) or \(18.8%\).