### Video Transcript

What is the probability of the
pointer landing on an even number when the given spinner is spun?

When we have a question like this,
we can assume that the spinner is fair. And by that we mean it’s not biased
or weighted, for example, so that the pointer will land more frequently on one
section than another. We can see that all the sections
are the same size. In particular, the angle made at
the center of this spinner in each sector will be the same.

Because there will just be one
outcome any time the spinner is spun, then we can use a key probability formula. The probability of an event is
equal to the number of possible outcomes over the total number of outcomes. So what event are we interested in
here? Well, it’s the probability of the
pointer landing on an even number. And we can write this as P and even
in parentheses. Then the number of possible
outcomes is the number of even values on the spinner. And the total number of outcomes is
the total number of values on the spinner.

So let’s work out the even and the
odd values on the spinner. Well, just 12 and 14 are even, so
that’s two even values. And then there’s eight different
values on the spinner. Notice that we’ve also included the
even numbers as they’re still part of the total number of values. Two over eight simplifies to
one-quarter. So the answer is that the
probability of the pointer on this spinner landing on an even number is
one-quarter.