Question Video: Finding the Experimental Probability of an Event Using Data in a Given Graph | Nagwa Question Video: Finding the Experimental Probability of an Event Using Data in a Given Graph | Nagwa

# Question Video: Finding the Experimental Probability of an Event Using Data in a Given Graph Mathematics • First Year of Preparatory School

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The graph shows the results of an experiment in which a die was rolled 26 times. Find the experimental probability of rolling a 2. Give your answer as a fraction in its simplest form.

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### Video Transcript

The graph shows the results of an experiment in which a die was rolled 26 times. Find the experimental probability of rolling a two. Give your answer as a fraction in its simplest form.

Here, we can see that we have a bar graph representing the number of times the values one to six were rolled on a die. For example, number one was rolled four times. Number two was rolled eight times. We can calculate the experimental probability of rolling a two as the number of times two was rolled over the total number of rolls. If we look at the bar chart, even if we weren’t given the figure of eight, we could read that the top of bar two comes to the value of eight. In other words, the number two was rolled eight times. We are then given that the die was rolled 26 times. However, even if we weren’t given this total number of rolls, we could calculate it by adding four, eight, eight, three, one, and two. This would give us a value of 26. The probability of rolling a two is eight over 26. But as these are both even numbers, we know that this fraction will simplify further to four over 13. And that’s our fraction in its simplest form for the experimental probability of rolling a two.

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