Question

At a school fair, each student spins the spinner, which is equally likely to land on each of the four sectors. The spinner shows how many tokens the student wins or loses. What is the expected number of tokens that a student will win on each spin

Answer 1

3 tokens.

Explanation:

We need the roulette image, therefore we will suppose one that I will leave as an attached image:

The main thing to keep in mind in this case is that the probabilities are the same, therefore you don't have to take that into account, just operate with the values of each sector, therefore the expected value would be:

expected value = profit - loss

expected value = (5 + 5) - (4 + 3)

expected value = 10 - 7 = 3

This means that the number of tokens waiting for the student to earn for each spin is 3 tokens.