Given that S = (1, 2, 3, 4, 6, 8, 9, 10}, the following events are defined. Let event A be that the number taken from S is a prime number. Let event B be that the number taken from S is odd. Let event Cbe that the number taken from S is a multiple of 2. 1. Which of the following statements is true? A. A and Bare mutually exclusive events. B. A and Care mutually exclusive events. C A and Care mutually exclusive events. D. Band Care mutually exclusive events. 2. Find the probability that a number taken from S is a p A. + 8. prime number? D. 1 3. Find the probability that a number taken from S is odd or is even? A. + 8. C. D. 1 4. Find the probability that a number taken from S is a prime number or is an even number? A. B. D. 5. Find the probability that a number taken from S is neither prime nor even? A. + 8. D. 음 6. Find the probability that a number taken from Sis a prime number and is an odd number? A. + D. 금

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question
10:08 E X C
46* ll 41%
For Ils 13 - 16
In a game, a player tosses a fair coin and a fair die. If a head appears on the coin, the number on the die becomes the score.
If a tail appears, the number on the die is doubled and becomes the score.
13. How many different scores are possible?
А. 6
B. 12
C. 24
D. 36
14. What is the probability that the score would be even?
A.
B. -
3
D.
15. What is the probability that the score would be greater than or equal to 8?
A. +
B. +
D.
16. What is the probability of getting a score of 9?
A.
8.
D. 1
For #s 17 & 18.
A businessman commutes to his office in the city and back to his suburban home every day. There are 5 roads that connect
the city and the suburb.
17. How many ways can he go to and from the office?
A. 25
B. 20
C. 50
D. 40
18. Find the probability that he goes to work on one road and goes home by another road.
A. +
B.
c. +
D.
For #s 19 &20
A class consists for 30 students, 14 boys and 16 girls.
19. How many ways can a president, a vice president and a secretary be chosen from among them?
A. 4 060
8. 1 223 040
C. 24 360
D. 7 338 240
20. How many ways can 3 students be selected to arrange the chairs in the classroom?
A. 4 060
8. 1 223 040
C. 24 360
D. 7 338 240
Transcribed Image Text:10:08 E X C 46* ll 41% For Ils 13 - 16 In a game, a player tosses a fair coin and a fair die. If a head appears on the coin, the number on the die becomes the score. If a tail appears, the number on the die is doubled and becomes the score. 13. How many different scores are possible? А. 6 B. 12 C. 24 D. 36 14. What is the probability that the score would be even? A. B. - 3 D. 15. What is the probability that the score would be greater than or equal to 8? A. + B. + D. 16. What is the probability of getting a score of 9? A. 8. D. 1 For #s 17 & 18. A businessman commutes to his office in the city and back to his suburban home every day. There are 5 roads that connect the city and the suburb. 17. How many ways can he go to and from the office? A. 25 B. 20 C. 50 D. 40 18. Find the probability that he goes to work on one road and goes home by another road. A. + B. c. + D. For #s 19 &20 A class consists for 30 students, 14 boys and 16 girls. 19. How many ways can a president, a vice president and a secretary be chosen from among them? A. 4 060 8. 1 223 040 C. 24 360 D. 7 338 240 20. How many ways can 3 students be selected to arrange the chairs in the classroom? A. 4 060 8. 1 223 040 C. 24 360 D. 7 338 240
D. +
10:07 X O
46+ ull 41%
Given that S = (1, 2, 3, 4, 6, 8, 9, 10}, the following events are defined.
Let event A be that the number taken from S is a prime number.
Let event B be that the number taken from S is odd.
Let event C be that the number taken from S is a multiple of 2.
Which of the following statements is true?
A. A and Bare mutually exclusive events.
B. A and Care mutually exclusive events.
C A and Care mutually exclusive events.
D. Band C are mutually exclusive events.
1
2.
Find the probability that a number taken from S is a prime number?
A.
B.
D. 1
3.
Find the probability that a number taken from Sis odd or is even?
A. +
B.
D. 1
4.
Find the probability that a number taken from S is a prime number or is an even number?
A. +
8.
5
C.
D.
5.
Find the probability that a number taken from Sis neither prime nor even?
A. +
B.
D.
6. Find the probability that a number taken from Sis a prime number and is an odd number?
A. +
8.
C.
D. +
For ls 7-10
Mrs. Cruz have three daughters in law who are about to give birth. All of them have no idea as to the gender of their babies.
Assuming that having a son or a daughter are equally likely to occur.
7. How many different ways can the gender of Mrs. Cruz's grandchildren come about?
2
A. 2
B. 4
C 6
D. 8
8. What is the probability that she will have 3 grandsons?
A.
B.
D.
9.
What is the probability that she will have at least one granddaughter?
A.
B.
D. f
10. What is the probability that she will have 2 grandsons and 1 granddaughter?
A.
B.
D.
11. A bag contains 8 white balls, 12 blue balls, and some yellow balls If a ball is drawn at random, the probability of
getting a yellow ball is . How many yellow balls are there?
А. В
B. 7
C 6
6
D. 4
12. A 4-digit pin number is selected from the numbers 0-9. What is the probability that the pin number does not have
repeated digits?
A.
112
28
B.
45
63
C.
125
D.
10
For #s 13 - 16
In a game, a player tosses a fair coin and a fair die. If a head appears on the coin, the number on the die becomes the score.
If a tail appears, the number on the die is doubled and becomes the score.
13. How many different scores are possible?
Transcribed Image Text:D. + 10:07 X O 46+ ull 41% Given that S = (1, 2, 3, 4, 6, 8, 9, 10}, the following events are defined. Let event A be that the number taken from S is a prime number. Let event B be that the number taken from S is odd. Let event C be that the number taken from S is a multiple of 2. Which of the following statements is true? A. A and Bare mutually exclusive events. B. A and Care mutually exclusive events. C A and Care mutually exclusive events. D. Band C are mutually exclusive events. 1 2. Find the probability that a number taken from S is a prime number? A. B. D. 1 3. Find the probability that a number taken from Sis odd or is even? A. + B. D. 1 4. Find the probability that a number taken from S is a prime number or is an even number? A. + 8. 5 C. D. 5. Find the probability that a number taken from Sis neither prime nor even? A. + B. D. 6. Find the probability that a number taken from Sis a prime number and is an odd number? A. + 8. C. D. + For ls 7-10 Mrs. Cruz have three daughters in law who are about to give birth. All of them have no idea as to the gender of their babies. Assuming that having a son or a daughter are equally likely to occur. 7. How many different ways can the gender of Mrs. Cruz's grandchildren come about? 2 A. 2 B. 4 C 6 D. 8 8. What is the probability that she will have 3 grandsons? A. B. D. 9. What is the probability that she will have at least one granddaughter? A. B. D. f 10. What is the probability that she will have 2 grandsons and 1 granddaughter? A. B. D. 11. A bag contains 8 white balls, 12 blue balls, and some yellow balls If a ball is drawn at random, the probability of getting a yellow ball is . How many yellow balls are there? А. В B. 7 C 6 6 D. 4 12. A 4-digit pin number is selected from the numbers 0-9. What is the probability that the pin number does not have repeated digits? A. 112 28 B. 45 63 C. 125 D. 10 For #s 13 - 16 In a game, a player tosses a fair coin and a fair die. If a head appears on the coin, the number on the die becomes the score. If a tail appears, the number on the die is doubled and becomes the score. 13. How many different scores are possible?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON