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.
