In an NBA (National Basketball Association) championship series, the team thatwins four games out of seven is the winner. Suppose that teams A and B face eachother in the championship games and that team A has probability 0.55 of winninga game over team B.(a) What is the probability that team A will win the series in 6 games?(b) What is the probability that team A will win the series?(c) If teams A and B were facing each other in a regional playoff series, which isdecided by winning three out of five games, what is the probability that teamA would win the series?

Answered: Image /qna-images/answer/61f49655-69df-4fb7-8997-c06bec0d3d4d.jpg

Answered: (a) What is the probability that team A…

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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Teams A and B are in a seven-game playoff series; the team that wins four games is the team that wins the series. Assume that both teams are evenly matched (i.e., the probability of winning each game is 50/50). (a) Team A won the first two games. What is the probability that team B will win the series? (b) Continue to assume that Team A has already won two games, but the teams are not evenly matched. Assume that B is a better team. It’s better in that its probability of beating Team A in any one game is .60. What is the probability that Team B will win the series? Pls solve via binomial theorem
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A fair die is tossed 4 times. What is the probability that(a) no fives show up?(b) 2 fives show up?(c) all fives show up?
P(A or B) = P(A) + P(B) – P(A and B) (a) Is it ever possible that P(A): = 4.3? Explain why or why not. (b) What would need to be true about A and B to ensure that P(A and B) = 0? Justify your answer. Feel free to use create an example probability question where you could define events A and B to help you answer the question.
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Suppose a fair die is rolled 18 times. (a) What is the probability p that a 2 will occur any given time the die is rolled? (Enter your probability as a fraction.) p = (b) What is the probability q that a 2 will not occur any given time the die is rolled? (Enter your probability as a fraction.) q = (c) What is n for this experiment? n = (d) What is the probability that a 2 will occur 7 times in the 18 rolls? (Round your answer to three decimal places.)
An urn contains seven red marbles and six green marbles. Four marbles are selected (all at once).(a) What is the probability that you get all reds?(b) What is the probability that you get one red and three greens?(c) What is the probability that you get at least one of each color?
Suppose you roll a pair of six-sided dice. (a) What is the probability that the sum of the numbers on your dice is exactly 6? (b) What is the probability that the sum of the numbers on your dice is at most 5? (c) What is the probability that the sum of the numbers on your dice is at least 8?
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Based on a survey, we assume that 59% of students have a pet. Suppose that there are 4 students sitting at a table. Find the probability of each of these events. Give each probability as a percentage rounded to two decimal places. (a) What is the probability that all 4 students have a pet? (b) What is the probability that none of the 4 students have a pet? % (c) What is the probability that at least one of the 4 students have a pet? % %
A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.(a)What is the probability that one of the players receives all four Aces?(b)What is the probability that at least one player receives no hearts?
75. In an examination 30% of the students have failed in Mathematics, 20% of the students have failed in Chemistry and 10% have failed in both Mathematics and Chemistry. A student is selected at random. (i) What is the probability that the student has failed in Mathematics when it is known that he has failed in Chemistry ? (ii) What is the probability that the student has failed either in Mathematics or in Chemistry ?

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