For items 8 – 13, use the probability of the union of two events, independent, or dependent events in solving the problems below. 8. The probability of passing an algebra exam is 3/7. The probability of passing a geometry exam is 3/5. If the probability of passing both exams is 4/7, what is the probability that a student will pass the algebra exam or the geometry exam? 9. Out of 14 employees in a company, 8 are in the accounting department and 6 belong to the administration department. If 4 of the employees are part of both departments, what is the probability that an employee chosen at random is part of either of the department? 10. A die is tossed twice. Find the probability of getting a 2 or 3 on the first toss and a 4, 5, or 6 on the second toss? 11. Clarisse is a cashier in a local convenience store. The probability that she will sell a candy bar is 0.93, while the probability that she will sell a fruit juice is 0.72. What is the probability that she will sell a candy bar and fruit juice? 12. A board game has 16 orange cards and 24 green cards, not in one deck. Three of the orange cards are wild cards and 6 of the green cards are wild cards. Josshiee may choose two cards at random, one at a time, to add to his hand, without replacement. For the least possible probability of choosing two wild cards, should Josshiee choose 2 green cards, 2 orange cards, or 1 green and 1 orange card? Justify your answer. BA 13. You are playing a game that involves spinning the money wheel shown. During your turn, you get to spin the wheel twice. What is the probability that you get more than 350 dollars on your first spin and then go bankrupt on your second spin? 8000 1000 0429 A 6500 15590 2000
For items 8 – 13, use the probability of the union of two events, independent, or dependent events in solving the problems below. 8. The probability of passing an algebra exam is 3/7. The probability of passing a geometry exam is 3/5. If the probability of passing both exams is 4/7, what is the probability that a student will pass the algebra exam or the geometry exam? 9. Out of 14 employees in a company, 8 are in the accounting department and 6 belong to the administration department. If 4 of the employees are part of both departments, what is the probability that an employee chosen at random is part of either of the department? 10. A die is tossed twice. Find the probability of getting a 2 or 3 on the first toss and a 4, 5, or 6 on the second toss? 11. Clarisse is a cashier in a local convenience store. The probability that she will sell a candy bar is 0.93, while the probability that she will sell a fruit juice is 0.72. What is the probability that she will sell a candy bar and fruit juice? 12. A board game has 16 orange cards and 24 green cards, not in one deck. Three of the orange cards are wild cards and 6 of the green cards are wild cards. Josshiee may choose two cards at random, one at a time, to add to his hand, without replacement. For the least possible probability of choosing two wild cards, should Josshiee choose 2 green cards, 2 orange cards, or 1 green and 1 orange card? Justify your answer. BA 13. You are playing a game that involves spinning the money wheel shown. During your turn, you get to spin the wheel twice. What is the probability that you get more than 350 dollars on your first spin and then go bankrupt on your second spin? 8000 1000 0429 A 6500 15590 2000
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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Transcribed Image Text:For items 8 – 13, use the probability of the union of two events, independent, or dependent events in
solving the problems below.
8. The probability of passing an algebra exam is 3/7. The probability of passing a geometry exam is
3/5. If the probability of passing both exams is 4/7, what is the probability that a student will pass
the algebra exam or the geometry exam?
9. Out of 14 employees in a company, 8 are in the accounting department and 6 belong to the
administration department. If 4 of the employees are part of both departments, what is the
probability that an employee chosen at random is part of either of the department?
la
10. A die is tossed twice. Find the probability of getting a 2 or 3 on the first toss and a 4, 5, or 6 on the
second toss?
11. Clarisse is a cashier in a local convenience store. The probability that she will sell a candy bar is
0.93, while the probability that she will sell a fruit juice is 0.72. What is the probability that she will
sell a candy bar and fruit juice?
12. A board game has 16 orange cards and 24 green cards, not in one deck. Three of the orange cards
are wild cards and 6 of the green cards are wild cards. Josshiee may choose two cards at random,
one at a time, to add to his hand, without replacement. For the least possible probability of
choosing two wild cards, should Josshiee choose 2 green cards, 2 orange cards, or 1 green and 1
orange card? Justify your answer.
BA
13. You are playing a game that involves spinning the money wheel
shown. During your turn, you get to spin the wheel twice. What is the
probability that you get more than 350 dollars on your first spin and
then go bankrupt on your second spin?
1000
65500
15590
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