Question

Part A

Answer 1

Since all sectors have the same area, the spinner is equaly likely to land on each of them. There are:

• 3 yellow sectors
• 3 red sectors
• 4 green sectors
• 1 blue sector

Obviously, this implies that there are 11 sectors in total.

So, the spinner will land on a certain color with probability

$p=\dfrac{\text{\# of sectors for that color}}{\text{11}}$

Use this formula to deduce the probability of green.

Finally, you can multiply the probability of red by 11 to get the expected number of reds in 11 spins.