What is the probability that the given fair spinner lands on a blue section?
As this spinner is fair, this means that the areas of all eight sections are the same. Therefore to find the probability that the spinner lands on a blue section, we need to divide the number of blue sections by the total number of sections.
From the diagram, we can see that there are eight sections in total, and two of them are blue; therefore, our probability is two out of eight, two-eighths. This fraction can be simplified by dividing both the numerator and denominator by two to give one-quarter.
Therefore, the probability of the spinner landing on a blue section is one-quarter. Remember, this was only possible because we were told that the spinner was fair, and therefore the areas of each of the sections are the same.