Question Video: Determining the Probability of an Event Involving Spinners | Nagwa Question Video: Determining the Probability of an Event Involving Spinners | Nagwa

Question Video: Determining the Probability of an Event Involving Spinners Mathematics • First Year of Preparatory School

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If this spinner is spun once, what is the probability of getting a vowel? Give your answer as a fraction in its simplest form.

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Video Transcript

If this spinner is spun once, what is the probability of getting a vowel? Give your answer as a fraction in its simplest form.

Let’s have a closer look at this spinner. It is divided into eight colored sections, each with a different letter from A to I. The sections are all of equal area, so the spinner is equally likely to land on each one.

When all outcomes of an experiment are equally likely, we can find the theoretical probability of a particular event occurring by dividing the number of successful outcomes by the total number of outcomes.

In this question, where we’re asked to find the probability of getting a vowel, the successful outcomes are those sections of the spinner that have vowels written on them. There are three sections with vowels: those with the letters A, E, and I. We already said there are eight sections in total. Hence, there are eight possible outcomes. And so, the probability of getting a vowel is three over eight.

We’re asked to give our answer as a fraction in its simplest form. As three and eight have no common factors other than one, this fraction can’t be simplified. And so our final answer is three-eighths.

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