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Introducing Conditional Probability Timothy rolls a pair of number cubes. Use this information to complete problems 1 and 2. 1. What is the probability that both numbers are odd if their sum is 7? What is the probability that the sum of the numbers is 7 if both numbers are odd?

Introducing Conditional Probability Timothy rolls a pair of number cubes. Use this information to complete problems 1 and 2. 1. What is the probability that both numbers are odd if their sum is 7? What is the probability that the sum of the numbers is 7 if both numbers are odd?

A First Course in Probability (10th Edition)
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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4.2.1p. U4-66 O Walch Education Name: UNIT 4 • APPLICATIONS OF PROBABILITY Date: Lesson 2: Conditional Probability 6. Consider the following events. A: A student chooses athletics. K: A student chooses karaoke. Are A and K independent? Compare P(AK) and P(K|A). Interpret what your answers mean. Read each scenario and use the information to answer questions 7-10. 7. The buses at the Zoomy Express Bus Company depart as scheduled 80% of the time. The buses depart and arrive as scheduled 68% of the time. What is the probability that a Zoomy Express bus arrives as scheduled if it departs as scheduled? 8. A hotel restaurant has a 75% customer approval rating for its servicc. The restaurant has a 60% customer approval rating for its service and its food. What is the probability that a restaurant customer approves of the food if he or she approves of the service? 9. Benicio rolls a pair of number cubes. What is the probability that the sum is 6 if the numbers are different? What is the probability that the numbers are different if the sum is 6? 10. Naya tosses a coin 3 times. What is the probability that she gets all heads if the first toss is heads? What is the probability that the first toss is heads if she gets all heads? 4.2.1 OWalch Education ()
Transcribed Image Text:4.2.1p. U4-66 O Walch Education Name: UNIT 4 • APPLICATIONS OF PROBABILITY Date: Lesson 2: Conditional Probability 6. Consider the following events. A: A student chooses athletics. K: A student chooses karaoke. Are A and K independent? Compare P(AK) and P(K|A). Interpret what your answers mean. Read each scenario and use the information to answer questions 7-10. 7. The buses at the Zoomy Express Bus Company depart as scheduled 80% of the time. The buses depart and arrive as scheduled 68% of the time. What is the probability that a Zoomy Express bus arrives as scheduled if it departs as scheduled? 8. A hotel restaurant has a 75% customer approval rating for its servicc. The restaurant has a 60% customer approval rating for its service and its food. What is the probability that a restaurant customer approves of the food if he or she approves of the service? 9. Benicio rolls a pair of number cubes. What is the probability that the sum is 6 if the numbers are different? What is the probability that the numbers are different if the sum is 6? 10. Naya tosses a coin 3 times. What is the probability that she gets all heads if the first toss is heads? What is the probability that the first toss is heads if she gets all heads? 4.2.1 OWalch Education ()
15blems #1, 2, 7,8, 9 10 Open with Name: UNIT 4 APPLICATIONS OF PROBABILITY Lesson 2: Conditional Probability Date: Practice 4.2.1: Introducing Conditional Probability Timothy rolls a pair of number cubes. Use this information to complete problems 1 and 2. 1. What is the probability that both numbers are odd if their sum is 7? What is the probability that the sum of the numbers is 7 if both numbers are odd? 2. What is the probability that the sum is even if the product is even? What is the probability that the product is even if the sum is even? For problems 3 and 4, list the sample space for the given events using a tree diagram and explain what your symbols represent. Use conditional probability to determine if events A and B are independent; show your work. 3. Hiro rolls a number cube 3 times. Event A: The second roll is odd. SS comm Event B: Exactly 2 consecutive rolls are odd. ass comm 4. The Millers have 3 children. Event A: The second oldest is a girl. Event B: At least 2 are girls. Use the following information to complete problems 5 and 6. A surveyor gathered data from 161 students regarding their interests and favorite entertainment activities. When asked to choose cither "music and drama" or "athletics" as their greater overall interest, 80 students chose music and drama, while 81 students chose athletics. Students were then asked to choose among several entertainment activities, including watching movies and singing karaoke. 40 students chose movies; of those students, 19 had chosen music and drama, while 21 had chosen athletics. 40 students chose karaoke; of those students, 31 had chosen music and drama, while 9 had chosen athletics. 5. Consider the following events. MD: A student chooses music and drama. M: A student chooses movies. Are MD and M independent? Compare P(MD|M) and P(M|MD). Interpret what your answers mean. continued SWB p. 51; SRB Practice 4.2.1 p. U4-66 OWalch Education U4-100 CCSS IP Math I Teacher Resource 4.2.1
Transcribed Image Text:15blems #1, 2, 7,8, 9 10 Open with Name: UNIT 4 APPLICATIONS OF PROBABILITY Lesson 2: Conditional Probability Date: Practice 4.2.1: Introducing Conditional Probability Timothy rolls a pair of number cubes. Use this information to complete problems 1 and 2. 1. What is the probability that both numbers are odd if their sum is 7? What is the probability that the sum of the numbers is 7 if both numbers are odd? 2. What is the probability that the sum is even if the product is even? What is the probability that the product is even if the sum is even? For problems 3 and 4, list the sample space for the given events using a tree diagram and explain what your symbols represent. Use conditional probability to determine if events A and B are independent; show your work. 3. Hiro rolls a number cube 3 times. Event A: The second roll is odd. SS comm Event B: Exactly 2 consecutive rolls are odd. ass comm 4. The Millers have 3 children. Event A: The second oldest is a girl. Event B: At least 2 are girls. Use the following information to complete problems 5 and 6. A surveyor gathered data from 161 students regarding their interests and favorite entertainment activities. When asked to choose cither "music and drama" or "athletics" as their greater overall interest, 80 students chose music and drama, while 81 students chose athletics. Students were then asked to choose among several entertainment activities, including watching movies and singing karaoke. 40 students chose movies; of those students, 19 had chosen music and drama, while 21 had chosen athletics. 40 students chose karaoke; of those students, 31 had chosen music and drama, while 9 had chosen athletics. 5. Consider the following events. MD: A student chooses music and drama. M: A student chooses movies. Are MD and M independent? Compare P(MD|M) and P(M|MD). Interpret what your answers mean. continued SWB p. 51; SRB Practice 4.2.1 p. U4-66 OWalch Education U4-100 CCSS IP Math I Teacher Resource 4.2.1
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