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1. Tom and Jerry are brothers in a math class. The teacher estimates that for each class, the probabilities that Tom and Jerry come late are 10% and 16% respectively. And the probability that they are both late is 5%. Assume the teacher's estimation is correct, find the following probabilities. (a) [12 points] In a particular class, what is the probability that both Tom and Jerry are present on time? (b) [12 points] In a particular class, if it's known that Tom is late, what is the probability that Jerry is also late?

1. Tom and Jerry are brothers in a math class. The teacher estimates that for each class, the probabilities that Tom and Jerry come late are 10% and 16% respectively. And the probability that they are both late is 5%. Assume the teacher's estimation is correct, find the following probabilities. (a) [12 points] In a particular class, what is the probability that both Tom and Jerry are present on time? (b) [12 points] In a particular class, if it's known that Tom is late, what is the probability that Jerry is also late?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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1. Tom and Jerry are brothers in a math class. The teacher estimates that for each class, the probabilities that Tom and Jerry come late are 10% and 16% respectively. And the probability that they are both late is 5%. Assume the teacher's estimation is correct, find the following probabilities. (a) [12 points] In a particular class, what is the probability that both Tom and Jerry are present on time? (b) [12 points] In a particular class, if it's known that Tom is late, what is the probability that Jerry is also late? 2. Consider an experiment of rolling five dice. (a) [12 points] What is the probability that the five dice come up different values? (b) [14 points] What is the probability of obtaining two odd numbers and three even numbers? 3. In a bag, there are 8 blue marbles, 10 red marbles and 12 green marbles. When 4 marbles are randomly chosen from the bag, find each of the following probabilities. (a) [12 points] What is the probability that all chosen marbles have the same color? (b) [14 points] If it's known that none of the chosen marbles are green, what is the probability of getting more blue marbles than red marbles? 4. Let A and B be events. (a) [12 points] Assume P(A) = 0.57, P (B) = 0.78, and P(A n B) = 0.42. Find P(A U BC). (b) [12 points] Assume P(A) = 0.57, P(B) = 0.78, and P(A | B) = 0.65. Find P (B|A).
Transcribed Image Text:1. Tom and Jerry are brothers in a math class. The teacher estimates that for each class, the probabilities that Tom and Jerry come late are 10% and 16% respectively. And the probability that they are both late is 5%. Assume the teacher's estimation is correct, find the following probabilities. (a) [12 points] In a particular class, what is the probability that both Tom and Jerry are present on time? (b) [12 points] In a particular class, if it's known that Tom is late, what is the probability that Jerry is also late? 2. Consider an experiment of rolling five dice. (a) [12 points] What is the probability that the five dice come up different values? (b) [14 points] What is the probability of obtaining two odd numbers and three even numbers? 3. In a bag, there are 8 blue marbles, 10 red marbles and 12 green marbles. When 4 marbles are randomly chosen from the bag, find each of the following probabilities. (a) [12 points] What is the probability that all chosen marbles have the same color? (b) [14 points] If it's known that none of the chosen marbles are green, what is the probability of getting more blue marbles than red marbles? 4. Let A and B be events. (a) [12 points] Assume P(A) = 0.57, P (B) = 0.78, and P(A n B) = 0.42. Find P(A U BC). (b) [12 points] Assume P(A) = 0.57, P(B) = 0.78, and P(A | B) = 0.65. Find P (B|A).
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