Question

HURRY PLZZ!!!!

A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue.


(Picture of the wheel is attached)

1. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point.

Let X = the points you have after one spin. Fill out the missing values in the table.

(picture of table that needs to be filled out is attached) (Second Picture)

Answer 1

Check out the picture attached

Explanation:

Answer 2

After one spin, you have landed in one of the colours. So, the possible outcomes are:

You landed on a red sector: In this case, you have -1 points. There are 2 red sectors over 7 total sectors, so this happens with probability 2/7.

You landed on a purple sector: In this case, you have 0 points. There are 2 purple sectors over 7 total sectors, so this happens with probability 2/7.

You landed on a yellow sector: In this case, you have 1 point. There are 2 yellow sectors over 7 total sectors, so this happens with probability 2/7.

You landed on a blue sector: In this case, you have 3 points. There is 1 blue sector over 7 total sectors, so this happens with probability 1/7.