18. A basketball team plays eight games in a tournament against evenly matched teams (so we may assume thatthe probability of the team winning each of the eight games is ½). Find the probability that the team wins at leastthree games in a row or loses at least three games in a row at least once during the tournament.A. 31/64В. 35/64С. 39/64D. 43/64E. 47/64

Given that a basketball team plays eight games in a tournament against evenly matched teams.

Answered: 18. A basketball team plays eight games…

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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55. An urn (i a)B, contains 2 white and 3 black balls and another urn Bz contains 3 white and 4 black balls. One urn is selected at random and a ball is drawn from it. If the ball drawn is found black, find the probability that the urn chosen was B1 а. 3/7 b. 20/41 C. 4/7 d. 21/41
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 112 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities: Homicides each city-year а. О b. 1 с. 2 d. 3 е. 4 Actual results 187 76 15 2
Consider a Birth and Death process with states 0, 1, ..., 9, 10. All the birth rates are 2 per minute, and all the death rates are 4 per minute. Suppose that 5 minutes ago the process has entered state 4, and it is still in the same state. What is the probability that the next two transitions are into states 5 and 6 respectively? A. 0.082 В. О.111 С. 0.444 OD. 0.222 O E. 0.714
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 153 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities: Homicides each city-year а. О b. 1 с. 2 d. 3 е. 4 Actual results 162 89 24 4 1 a. P(0) = (Round to four decimal places as needed.) b. P(1) =D (Round to four decimal places as needed.) c. P(2) = (Round to four decimal places as needed.) d. P(3) = (Round to four decimal places as needed.) e. P(4) = (Round to four decimal places as needed.) The actual results consisted of 162 city-years with 0 homicides; 89 city-years with one homicide; 24 city-years with two homicides; 4 city-years with three homicides; 1 city-year with four homicides. Compare the actual results to those expected by using the Poisson probabilities. Does the Poisson…
A fair and unbiased die is rolled. What is the probability of the event of a number greater than 2 appears? О А. 1/6 о В. 1/3 О С. 2/3 O D. 5/6
Q6. What is the probability of getting the expected number of Heads from 20 tosses of a fair coin when the first two tosses are both HEADS? A. 0.167 B. 0.212 С. 0.336 D. 0.488 O A. A О В. В С. С D. D
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
11. There are 28 apples in a box; 12 apples are red while the rest are green Find the probability that the apple picked randomly will be green. A. 즉 В. Т . : 3 C. 4 D. 득 7 7 12. 36 students want to audition in a singing contest. The number of girls is 15. What is the probability that the random student that will be selected is a girl? C. 5 1 A. 12 7 11 В. D. 12 12 12
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
What is the probability of getting at least one tail if two unbiased coins are independently tossed? а. 1/4 b. 1/2 с. 7/8 d. 3/4
28.) A Certain Blood Group type can be find only in 0.05% of the people. If the population of a randomly selected group is 3000. What is the Probability that at least a people in the group have this rare blood group.
Box-1 contains 2 white and 1 green balls and Box-2 contains 2 white and 2 green balls. One box is selected at random, and a ball is drawn from it. If the ball drawn is found green, find the probability that the box chosen was Box-1. О а. 3/8 ОБ. 4/5 О с. 1/3 O d. 1/2 O e. 1/4 O f. 2/5 O g. 2/3 O h. 3/5

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