8.04 Mutually Exclusive Events

Determine whether the events are mutually exclusive or not mutually exclusive. Explain your answer.

1. Drawing a jack or a diamond from a standard deck of cards

Mutually exclusive or not mutually exclusive:

Explanation:

2. Drawing an ace or a king from a standard deck of cards

Mutually exclusive or not mutually exclusive:

Explanation:

3. A senior wins student government president and a male wins student government president

Mutually exclusive or not mutually exclusive:

Explanation:

4. rolling a pair of dice and getting a sum of 4 or 9

Mutually exclusive or not mutually exclusive:

Explanation:

5. tossing a coin and getting heads or tails

Mutually exclusive or not mutually exclusive:

Explanation:

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Match the event with the definition and probability rule. Drag the definition and probability rule below the appropriate events.

Events

6. independent events 9. mutually exclusive events

7. dependent events 10. not mutually exclusive events

8. complementary events

Definition

Probability Rule

Determine the probability of each event and identify the type of events as independent, dependent, mutually exclusive events, not mutually exclusive events, or complementary events. Show your work.

Cards: suppose you draw a card from a standard 52-card deck. Find the probability of each event.

11. The card is 5

Type of event:

Answer:

12. the card is 5 or 10

Type of event:

Answer:

13. the card is 5 or red

Type of event:

Answer:

14. the card is not 5

Type of event:

Answer:

15. Based on the different types of events now compare and contrast an intersection of two sample spaces with the word "and" P(A and B) and the union of two sample spaces with the word "or" P(A or B).

Answer:

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Athletics: A school carried out a survey of 250 students to see which sport they would play the upcoming year. The results are shown in the Venn Diagram.Find the probability of each. Show your work.

20

30

25

15

16. P(baseball or football)

Answer:

17. P(basketball or baseballbut not football)

Answer:

18. P(all three)

Answer:

Identify if the compound events are mutually exclusive or not mutually exclusive then find the probability of the compound event. Use the following information to solve questions 19-20. During the spring season at Dale County High School, there are 100 student athletes who are only allowed to play one sport. Suppose that there are 46 female athletes (18 basketball, 15 soccer, and 13 swimmers) and 54 male athletes (18 basketball, 15 soccer, and 21 swimmers). Of these 100 athletes, 36 play basketball, 30 play soccer, and 34 are members of the swim team.

19. What is the probability of randomly selecting an athlete that plays either basketball or soccer?

Mutually exclusive or not mutually exclusive:

Probability:

20. What is the probability of randomly selecting an athlete that is female or swims?

Mutually exclusive or not mutually exclusive:

Probability:

21. What is the probability of randomly selecting an athlete that swims or plays soccer?

Mutually exclusive or not mutually exclusive:

Probability: