Question Video: Determining the Experimental Probability of an Event given a Table Expressing a Number Cube Experiment’s Results Mathematics • 7th Grade

A six-sided die contains numbers 1 to 6. It was rolled 26 times and the number of times each value appeared is shown in the table. Find the experimental probability of rolling a 4.

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Video Transcript

A six-sided die contains numbers one to six. It was rolled 26 times, and the number of times each value appeared is shown in the table. Find the experimental probability of rolling a four.

First, we’re going to think about what experimental probability is. Experimental probability is the simple ratio of the number of times an event occurred to the total number of trials where the activity was repeated. We are particularly interested in the number of times a four was rolled, so we’ll look at the fourth column where we have a value of four. The frequency tells us how many times a four was rolled, and that will be two. So the experimental probability is the ratio of the number of times our event occurred over the total number of trials conducted.

That ratio will be the number of times we rolled a four over the number of trials. A four was rolled twice out of the 26 rolls, and this ratio two over 26 can be simplified. We can divide the numerator and the denominator by two. Two divided by two is one. 26 divided by two is 13. That means the experimental probability of rolling a four is one over 13. For every 13 rolls, one of them was a four.