2. At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B.

(a) List all the possible outcomes of the compound event.

(b) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain.

Possible outcomes

1a

1b

2a

2b

3a

3b

there are a total of 2 number one's

so there is a possibility of 2/6 chance to get the number 1

There are 3 a's in the set of data so there is a 3/6 chance to get an a

But we should exclude 1a because it is already counted in the first set when we counted the total number of 1's so there is a 2/6 chance of getting an A

add

2/6+2/6=4/6

There is a 4/6 or 2/3 chance of getting either an a or an 1