Use geometric probability. What is the area of one of the colored sectors on the spinner? What about the combined area of the green sectors?
Example Event: The spinner landing on a green sector
Practice makes perfect
We want to describe an event with a 33 % probability for the given model. The given model is a spinner separated into 6 sectors in 3 different colors.
We will use geometric probability. The probability of an event is the ratio of the area of the region of the spinner corresponding to the event to the area of the spinner. Note that 33 % is approximately 13. Let's call the area of the spinner A. Each sector has an area of 16A. However, since there are 2 sectors of each color, the combined area of the sectors of each color is 13A.
Let's calculate the probability of the spinner landing on a green sector.
P(green sector) = Combined area of green sectors/Area of the spinner
The probability of a spinner landing on a green sector is 13, or approximately 33 %. An example event with a 33 % probability is the spinner landing on a green sector.
