5. a) Two hockey teams, Toronto and Calgary are playing for the Stanley cup. Out of a 3 gameseries, what is the probability that Toronto will win exactly 2 games. Draw a tree diagram (forToronto only), Then find A and A'Let A beLet A' be b) Determine the odds in favour that 2 games are won by Toronto in a 3 game series.

Given that, Two hockey teams, Toronto and Calgary are playing for the Stanley cup. We need to find…

Answered: 5. a) Two hockey teams, Toronto and…

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...

See similar textbooks

Similar questions

A personal computer manufacturer buys 38% of its chips from Japan and the rest from America. Of the Japanese chips, 2% are defective, whereas 3% of the American chips are defective. Set up a tree diagram. a) Find the probability that a chip is not defective. b) Find the probability that a chip is defective and came from Japan. c) Given that a chip is defective what is the probability it came from America.
not red. 4. A lottery game, LOTTOPLUS, is set up so that each player chooses seven different numbers from 1 to 24. With one LOTTOPLUS ticket, what is the probability of winning the prize? SA flashlight has 6 hatteries, 2 of which are defective IE 2
An urn contains 7 red, 3 white, and 6 black balls. One ball is drawn from the urn, it is replaced, and a second ball is drawn. Construct a probability tree to determine the probability that one ball is white W and one is red R. Pr(one W none R) = 21 Pr(one W none R) = 128 Pr(one W none R) = Pr(one W none R) = 50 Pr(one W none R) = 21 256 7 75
Given the following fictitious data 40% of all undergraduates at XYZ University are from Florida and60% from out of state. 22% are freshmen, and 78% are not. Out of all freshmen, 36% are from Florida,and 64% from out of state. Determine the probability a randomly selected XYZ University undergraduate:Suggestion: Make a tree diagram with the first branches being freshmen or not.a) is from Florida and a freshman. b) is from Florida and not a freshman.c) is from out of state and not a freshman. d) is a freshman given the student is from Florida.
2.2 3) For each situation below, determine whether the two events are dependent or independent. a) Flip a coin and then draw a card from a standard deck of 52 cards. b) Draw a marble from a bag; do not replace it; and then draw a 2nd marblę from the same bag. c) Get a raise at work and purchase a new car. d) Drive on ice and lose control of your car. e) Have a large shoe size and have a high IQ. f) Be a chain smoker and get lung cancer. g) Dad is left handed and son is left handed INTL 9 DII -> & %23 24 6. 4 2 y e
6. A bookstore is giving out bookmarks to its customers. Customers can choose from 4 colors (green, red, orange, or blue) and 2 styles (cloth or paper). a. Use a tree diagram to find all the possible bookmark types. b. Spencer picks a bookmark at random from a box that contains one bookmark of each type. What is the probability that he will choose an orange cloth bookmark?
2. In a department of 12 women and 10 men, 8 people will be selected to attend a conference. Do not simplify your answers, leave in combinatorics form. Assume random selection. Find the following probabilities a. an equal number of men and women will be selected? b. there will be at least 6 women selected? c. no women will be selected? d. no more than 4 men will be selected?
4. Suppose that a finite class contains 50% freshmen, 15% sophomores, 10% juniors, and the rest seniors. Suppose that 20% freshmen, 30% sophomores, 50% juniors, and 70% of seniors pass the class. Draw a tree diagram to represent this scenario: (a) Given that the student is a sophomore, what is the probability that she fails the class? (b) What is the probability that a randomly selected student passes the class? (c) What is the probability that a randomly selected student is a senior that passes the class?
2. A student majoring in phycology is trying to decide on the number of firms to which he should apply. Given his work experience and grades he can expect to receive a job offer from 75% of the firms he applies. The student decides to apply to only 4 firms. What is the probability that he receives?a) No job offers P(x = 0) b) Less than 2 job offers P(x <2) c) At least 2 job offers P(x ≥ 2)
5. A group of n people stand in a line. On the count of three, each of them simultaneously chooses to look either left or right (with equal probability): at one of their neighbors. Let X be the number of pairs of adjacent people that end up facing each other. (For example, if n = 5 and the random facings are "Left, Left, Right, Left, Right" then only the 3rd and 4th people face each other.) (a) Find the expected value E[X]. (b) Find Pr[X=0]. (c) Assuming n is even, find the maximum possible value of X, and the probability that X is equal to that value.
1. The admissions office of a private university released the following admission data for the preceding academic year:from a pool of 3900 male applicants, 40% were accepted by the university and 40% of those males subsequently enrolled.Additionally, from a pool of 3600 female applicants, 45% were accepted by the university and 40% of those femalessubsequently enrolled.Make a tree diagram for this situation.What is the probability that:a) a male applicant will be accepted by and subsequently will enroll in the university?b) a student who applies for admission will be accepted by the university?c) a student who applies for admission will be accepted by the university and subsequently will enroll?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

5. a) Two hockey teams, Toronto and Calgary are playing for the Stanley cup. Out of a 3 game series, what is the probability that Toronto will win exactly 2 games. Draw a tree diagram (for Toronto only), Then find A and A Let A be Let A' be