A tram company runs two tram routes from station P to station Q. The first route is a direct tram, the green line. The second route involveschanging trams at an intermediate station: passengers take the blue line from station P to station R and then the yellow line from station Rto station Q. The events of the three tram lines running are mutually independent and each tram line runs with probability 1/2. Which ofthe following gives the probability that a person can travel from station P to station Q?Select one:a. 7/8b. 1/8C. 5/8O d. 3/4O e.None of the other choices

Given problem Given that A train company runs two tram routes from station P to station Q. The…

Answered: A tram company runs two tram routes…

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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Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 12, given that the green one is either 2 or 3 and the yellow one is 1. Say whether the indicated pair of events is independent. The events are dependent.The events are independent.
At a certain company, the mentoring program and the community outreach program meet at the same time, so it is impossible for an employee to do both. If the probability that an employee participates in the mentoring program is 0.43, and the probability that an employee participates in the outreach program is 0.32, what is the probability that an employee does the mentoring program or the community outreach program?
Evan is ordering dessert, and he wants the fudge pie. The waitress tells him that he can have up to four toppings: ice cream, chocolate sauce, whipped cream, and a cherry. Since he cannot decide how many of the toppings he wants, he tells the waitress to surprise him. If the waitress randomly chooses which toppings to add, what is the probability that Evan gets just chocolate sauce, and a cherry.
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have a pool and kid(s). What is the probability that a randomly selected family has a pool but no kid ?
Harold,xerxes, Regina,shaindel,Murray,Norah and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that xeres arrives first and Regina arrives last?
A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he likes, a male and female puppy from each of the four breeds of terrier, briard, dachshund, and maltese. The puppies are each so cute that he cannot make up his mind, so he decides to pick the dog randomly. Find the probability that the man chooses a male puppy. The probability of choosing a male puppy is (Type a simplified fraction.) ...
Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O No

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