7. What is the sum of all the probabilities of a simple event?А. ОВ. 1C.2D. 38. When a certain event is sure to happen, then what is its probability?A. OВ. 1С.2D. 39. When a certain event will not really happen, then what is its probability?А. ОВ. 1С. 2D. 310. What is/are the possible value/s of the random variable X if X is the number of heads in tossing acoin?А. (0)В. (0,1)C. ( 0,1,2)D. (0,1,2,3)11. What is/are the possible value/s of the random variable Y if Y is the number of fails in tossing twocoins?А. (0)В. (0,1)C. (0,1,2)D. (0,1,2,3)12. A fair coin is tossed, what is the probability that a head will appear?A. 1/4В. 1/2C. 1/3D. 2

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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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There is an average of 4 accidents in a week on a major highway in the city. What is the the probability that there less than 2 accidents in a week? а. 0.0183 O b. 0.07326 С. 0.09158 O d. 0.1465
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19. In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 2 belong to an ethnic minority? 20. Use the information in the previous question to find the probability that at most 2 students belong to a minority.
4. The odds that an event, A, happens is defined to be O(A) P(A) 1- P(A) If the odds that event A occurs is 3.0, what is the probability it happens? (a) (b) = If the odds that event A occurs is 3:0, what is the probability it happens? 3.0'
15. (Disease test): According to the clinical records, the accuracy rate of a certain cancer diagnosis test is 95%, that is, the probability of cancer patients being diagnosed with cancer and the probability of healthy people being told to be healthy are both 95%. Now, the general survey in natural population is carried out, and the prior probability of the tested person suffering from cancer is 0.006. Find out the probability of the diagnosed person suffering from cancer when the test results are known to be positive. (Let A="the test reaction is positive" and C= "the diagnosed person has cancer")
Consider two urns. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The second one contains 2 red balls and 5 green balls. You pick a ball at random from the first urn and place it into the second urn. Then you pick a ball at random from the second urn. What is the probability that this ball is red? O A. 5/14 О В. 6/15 О С. 5/16 D. 3/14 O E. not in the list given
31. Suppose the probability that a particular student will get a first division in the annual examination is Suppose he appeared in 10 class 10 tests and obtained first division in 4 of them. What is the probability now that the student will get a first division in the annual examination ?
17. Suppose that the probability that Bob has a flat tire is 56%. Also, suppose that the probability that Bob ha= both a flat tire and a transmission failure is 14%. Find the probability Bob will have a transmission failure if h- has a flat tire. A. 0.21 В. 0.23 C. 0.25 D. 0.27
13. When a fair die is tossed, what is the probability of getting an even number? A. % В. 1/2 C. 1/3 D.2 14. When a fair die is tossed, what is the probability of getting an odd number? A. 1/4 B. 1/2 C. 1/3 D. 2 15. When two dice is tossed, what is the probability of getting a sum of 32 A. 1/10 В. 1/11 С. 1/18 D. 1/21 16. When two dice is tossed, what is the probability of getting a sum of 5? A. 1/4 В. 1/5 C. 1/8 D. 1/9 17. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a blue ball? A. 1/4 B. 1/5 C. 1/8 D. 3/10 18. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a red ball? В. 1/5 A. 1/4 C. 1/8 D. 3/10 19. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a PINK ball? A. O В. 1 С. 1/8 D. 3/10 20. There are 15 green balls inside a jar. What is the probability of getting a green ball? A. O D. 3/10 В. 1 С. 1/8
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85. Two sets of candidates are competing for the positions on the Board of Directors of The probabilities that the first and the second sets will win are 0.6 and 0.4 respectively. If a company. the first set wins, the probability of introducing a new product is 0.8 and corresponding probability if the second set wins is 0.3. What is the probability that the product will be introduced ? Cop wins
19. In a battery factory there are two production lines (A and B). The probability of a battery failing is known to be 0.04. If 40% of production is done on line A, what is the probability that, when selecting a battery at random, it will occur on line B and be defective?

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7. What is the sum of all the probabilities of a simple event? А. О В. 1 C.2 D. 3 8. When a certain event is sure to happen, then what is its probability? А. О В. 1 С.2 D. 3 9. When a certain event will not really happen, then what is its probability? A. O В. 1 С. 2 D. 3