7 West Math

A dart is thrown at random at each of the dartboards below.

(I will try to upload the pictures later.  You should have them on your worksheet.)

a.  For each dartboard, what is the probability that a dart will land in a region marked A?  A region marked B?  A region marked C?

b.  For board 1, what is the probability that a dart will land in a region marked A or B?

c.  For board 2, what is the probability that a dart will not land in region C?

Same rules as number 3.

Tioko and Dione are using the spinners from the Making Purple game to play a two-person game.  They take turns spinning the two spinners.  If the colors on the two spinners make purple, Dione scores.  If they do not make purple, Tioko scores.  For this to be a fair game, how many points should Dione score when the spinners make purple, and how many points should Tioko score when they do not make purple?

Post your answer as a comment.  Same rules as number 3.

In the Gee Whiz Everyone Wins! television game show, members of the studio audience draw a block randomly from a bucket containing 2 red blocks, 1 yellow block, and 3 blue blocks.  If a blue block is drawn, the contestant wins $5.  If a red block is drawn, the contestant wins $10.  If the yellow block is drawn, the contestant wins $50.  The block is replaced after each draw.

a.  What is the probability of drawing each color?

b.  If 24 contestants draw a block from the bucket, how much money can the game show expect to pay out?

Leave your answer as a comment.  Include your first name and class period.  Answers posted by Monday, January 28, will be eligible for points.

Today we began a mini-unit on compound probability called What Do You Expect? We are exploring what happens when you find the probability of two things happening together. For example, if you flip a coin five times, what is the probability of getting heads all five times? This is much more complicated than finding the probability of getting heads on one flip. We will also be working from the textbook. There was no homework tonight.