Spinners Example: This particular spinner has three colors, but each color is no

Question

Spinners Example:

This particular spinner has three colors, but each color is not equally likely to be the result of a spin, since the portions are not the same size.

Since the blue is half of the spinner, P(blue) = 1/2. The red and yellow make up the other half of the spinner and are the same size. Thus, P(red) = P(yellow) = 1/4.

Suppose there are 2 freshmen, 1 sophomore, and one junior in a study group. You want to select one person. The P(F) = 2/4 = 1/2; P(S) = 1/4; and P(J) = 1/4, just like the spinner.

Questions below:

1a. Unlike the above example spinner, imagine a spinner that has only 2 colors - - Red and White - - and the colors are the same size. Someone spins the pointer 3 times. List all the possible outcomes of this random experiment. [Use the letters R, W]

1b. What is another name for the list you just made?

2. What is the probability that the color red will come up exactly once in the three spins?

Explanation / Answer

1) (a) All the possible outcomes are as follows:

(b) The list of all possible outcomes is known as the sample space.

2) To get this answer we look at the outcomes of anwer 1(a)

We know that P=No of favourable outcomes/Total no of outcomes

Now, the favourable outcomes are where we have exactly 1 red coming up which is WWR,WRW,RWW= 3 cases.

Our total no of outcomes= 8, and therefore P=3/8

1st Spin 2nd Spin 3rd Spin 1 R R R 2 R R W 3 R W R 4 W R R 5 W W W 6 W W R 7 W R W 8 R W W

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