Question

At a carnival, each person can spin two raffle wheels. The first wheel has the numbers 4, 5, and 6. The second wheel has the letters Y and Z.

(a) List all possible outcomes of the compound event.
(b) If you spin both wheels, what is the probability that you get either a 5 or a Z? Explain.

Answer 1

(a) The possible outcomes of the compound event are:

4Y, 4Z, 5Y, 5Z, 6Y, 6Z

(b) The probability of getting either a 5 or a Z is 5/6. This is because there are 6 possible outcomes and 5 of them include a 5 or a Z.

The probability of getting a 5 is 1/3, and the probability of getting a Z is 2/3. The probability of getting both a 5 and a Z is 1/6. Therefore, the probability of getting either a 5 or a Z is 1/3 + 2/3 - 1/6 = 5/6.

Explanation:

Answer 2

(a) The possible outcomes of spinning both wheels are: 4Y, 4Z, 5Y, 5Z, 6Y, and 6Z.
(b) The probability of getting either a 5 or a Z is 2/6 or 1/3. There are two ways to get a 5 or a Z (spinning a 5 on the first wheel or spinning a Z on the second wheel), and there are six possible outcomes.