Question Video: Calculating the Experimental Probability of an Event Using a Set | Nagwa Question Video: Calculating the Experimental Probability of an Event Using a Set | Nagwa

# Question Video: Calculating the Experimental Probability of an Event Using a Set Mathematics • First Year of Preparatory School

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Isabella creates a three-sided spinner using the colors red, green, and blue. She spins the spinner and records the following results: {red, blue, red, green, green, green, red, red, red, green}. Calculate the experimental probability of spinning green on this spinner.

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### Video Transcript

Isabella creates a three-sided spinner using the colors red, green, and blue. She spins the spinner and records the following results: red, blue, red, green, green, green, red, red, red, green. Calculate the experimental probability of spinning green on this spinner.

We are told that Isabella has a three-sided spinner with three colors: red, green, and blue. The outcomes of the experiment to spin the spinner have been recorded. We then need to calculate the experimental probability of spinning green. The experimental probability of an event is the ratio of the number of outcomes in which this event occurs to the total number of trials in the experiment. So here we’re calculating the experimental probability of spinning green. This is equal to the number of times green was spun over the total number of spins.

Using the set of results, we can see that green was spun four times. And by counting the number of results, we can determine that the number of spins must be 10. The fraction four-tenths can be fully simplified to two-fifths. We can therefore give the answer that the experimental probability of spinning green is two-fifths. However, as probabilities can be given as fractions, decimals, or percentages, then 0.4 or 40 percent would also be valid answers.

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