Section 14.6 – Mutually Exclusive/Inclusive Events

11. A single ball is drawn from a bag containing four red, five white, and two green balls. Find the probability of each event. a. A red or green ball is drawn b. A white or red ball is drawn

I 2. In a box there are three red, two blue, and three yellow pastels. Doris randomly selects one, returns it, and then selects another. a. Find the probability that the first pastel is blue and the second pastel is blue b. Find the probability that the first pastel is yellow and the second pastel is red. Before we look at #3…

3. A card is drawn and then replaced from a 52 card bridge deck. A second card is then drawn and replaced. Find the probability of each event. a. both are tens b. both are aces c. either both are tens or both are aces.

3. A card is drawn from a 52 card bridge deck. A second card is then drawn and replaced. Find the probability of each event. a. both are tens b. both are aces c. either both are tens or both are aces.

4. When Carlos shoots a basketball, the probability that he will make a basket is 0.4. When Brad shoots, the probability of a basket is 0.7. What is the probability that at least one basket is made if Carlos and Brad take one shot each? P(at least one) = 1 – P(none) P(at least one basket) = 1 – P(no baskets) P(Carlos missing) = 0.6P(Brad missing) = 0.3

5. The probability that Leon will ask Frank to be his tennis partner is ¼, that Paula will ask Frank is 1/3 and that Ray will ask Frank is ¾. Find the probability of each event. a. Paula and Leon ask him. b. Ray and Paula ask him, but Leon does not

5. The probability that Leon will ask Frank to be his tennis partner is ¼, that Paula will ask Frank is 1/3 and that Ray will ask Frank is ¾. Find the probability of each event. c. At least two of the three ask him. Leon Yes Paula Yes Ray No Leon Yes Paula No Ray Yes Leon No Paula Yes Ray Yes Leon Yes Paula Yes Ray Yes

5. The probability that Leon will ask Frank to be his tennis partner is ¼, that Paula will ask Frank is 1/3 and that Ray will ask Frank is ¾. Find the probability of each event. d. At least one of the three ask him. P(at least one) = 1 – P(none) P(at least one will ask) = 1 – P(none ask)

1 6. According to the weather reports, the probability of rain on a certain day is 0.7 in Yellow Falls and 0.5 in Copper Creek. Find the probability of each: a. It will rain in Yellow Falls, but not in Copper Creek. b. It will rain in both cities. c. It will rain in neither city. d. It will rain in at least one of the cities.