GUIDED PRACTICE 1. Vocabulary A compound event where one outcome overlaps with another is made up of two ?. (inclusive event or mutually exclusive events) A bag contains 25 marbles: 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random. 2. Explain why the events "getting a black marble" and "getting a red marble" are mutually exclusive. 3. What is the probability of getting a red or a blue marble? 4. A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### 11-4 Exercises

#### Guided Practice

1. **Vocabulary:** 
   A compound event where one outcome overlaps with another is made up of two __?__ (inclusive event or mutually exclusive events).

A bag contains 25 marbles: 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random.
2. Explain why the events “getting a black marble” and “getting a red marble” are mutually exclusive.
3. What is the probability of getting a red or a blue marble?
4. A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?

Numbers 1–10 are written on cards and placed in a bag. Find each probability.
5. Choosing a number greater than 5 or choosing an odd number.
6. Choosing an 8 or choosing a number less than 5.
7. Choosing at least one even number when selecting 2 cards from the bag.

Five years after 650 high school seniors graduated, 400 had a college degree and 310 were married. Half of the students with a college degree were married.
8. What is the probability that a student has a college degree or is married?
9. What is the probability that a student has a college degree or is not married?
10. What is the probability that a student does not have a college degree or is married?

11. A vending machine offers 8 different drinks. One day, 6 employees each purchased a drink from the vending machine. Find the probability that at least 2 employees purchased the same drink.

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### Practice and Problem Solving

Jump ropes are given out during gym class. A student has a \( \frac{1}{6} \) chance of getting a red jump rope and a \( \frac{1}{3} \) chance of getting a green jump rope. Meg is given a jump rope.
12. Explain why the events “getting a red jump rope” and “getting a green jump rope” are mutually exclusive.
13. What is the probability that Meg gets a red or a green jump rope?
Transcribed Image Text:### 11-4 Exercises #### Guided Practice 1. **Vocabulary:** A compound event where one outcome overlaps with another is made up of two __?__ (inclusive event or mutually exclusive events). A bag contains 25 marbles: 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random. 2. Explain why the events “getting a black marble” and “getting a red marble” are mutually exclusive. 3. What is the probability of getting a red or a blue marble? 4. A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn? Numbers 1–10 are written on cards and placed in a bag. Find each probability. 5. Choosing a number greater than 5 or choosing an odd number. 6. Choosing an 8 or choosing a number less than 5. 7. Choosing at least one even number when selecting 2 cards from the bag. Five years after 650 high school seniors graduated, 400 had a college degree and 310 were married. Half of the students with a college degree were married. 8. What is the probability that a student has a college degree or is married? 9. What is the probability that a student has a college degree or is not married? 10. What is the probability that a student does not have a college degree or is married? 11. A vending machine offers 8 different drinks. One day, 6 employees each purchased a drink from the vending machine. Find the probability that at least 2 employees purchased the same drink. --- ### Practice and Problem Solving Jump ropes are given out during gym class. A student has a \( \frac{1}{6} \) chance of getting a red jump rope and a \( \frac{1}{3} \) chance of getting a green jump rope. Meg is given a jump rope. 12. Explain why the events “getting a red jump rope” and “getting a green jump rope” are mutually exclusive. 13. What is the probability that Meg gets a red or a green jump rope?
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