Tina Fey goes trick-or-treating the night of Halloween dressed as Sarah Palin. She visits homes in her neighborhood to collect candy, but only receives candy, naturally, when the door is answered and the family still has a piece of candy to give away. Upon knocking, the probability of the door being answered is 3/4, and the probability that the home still has candy is 2/3. Assume that the events “Door answered” and “candy remaining” are independent and also that the outcomes at each home are independent. Also assume that each home gives away at most a single piece of candy. (c) Determine the probability that she receives her second piece of candy at the fifth house. (d) Given that she did not receive her second piece of candy at the second house(not sure if she receive her first candy), determine the conditional probability that she will receive her second piece of candy at the fifth house.

Tina Fey goes trick-or-treating the night of Halloween dressed as Sarah Palin. She visits homes in her neighborhood to collect candy, but only receives candy, naturally, when the door is answered and the family still has a piece of candy to give away. Upon knocking, the probability of the door being answered is 3/4, and the probability that the home still has candy is 2/3. Assume that the events “Door answered” and “candy remaining” are independent and also that the outcomes at each home are independent. Also assume that each home gives away at most a single piece of candy. (c) Determine the probability that she receives her second piece of candy at the fifth house. (d) Given that she did not receive her second piece of candy at the second house(not sure if she receive her first candy), determine the conditional probability that she will receive her second piece of candy at the fifth house.

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

Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms from this company for their new house. What is the probability that almost one of the purchased smoke detectors is defective?
About 14% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent.
In a certain high school, 54% of the students are female, 46% of the students are male. If you select a student at random from this school, what is the probability that the student will be a female? What is the probability that the student will be a male?
An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 72% live to be 7 years or older. Of the puppies who are adopted, 80% live to be 7 years or older. What is the probability that a randomly selected puppy in the shelter will get adopted and live 7 or more years?
I hit two traffic lights on my way to work each morning. Both lights operate independently. The probability both lights will be red is 0.22. The probability the first light is red and the second light is NOT red is 0.33. What is the probability the second light will be red when I reach it?
About 9% of the population of a large country is hopelessly romantic. If 2 people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least 1 is hopelessly romantic? Assume the events are independent.
In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What is the probability that a randomly selected family owns both a dog and cat? Assuming that dog and cat ownership are independent of each other.
In a city a meteorologist finds that the under certain atmospheric conditions, rain resulted 81 times out of 112. He projects that the conditions on the next day will be very similar. What is the probability of rain?
You travel from Amsterdam to Sidney with a change of airplane in Dubai and Singapore. You have one piece of luggage is transferred from one airplane to the other. At the airport in Amsterdam, there is a probability of 5% that your luggage is not placed in the right plane. This probability is 3% at the airport in Dubai and 2% at the airport in Singapore. What is the probability that your luggage does not reach Sidney with you? If your luggage does not reach Sidney with you, what is the probability that it was lost at Dubai airport?
Kareem Abdul Jabbar and Larry Bird are very different when it comes to making free throws. A sports magazine reports that Kareem makes about 85%of his free throws, while Larry Bird makes only 50% of his free throws. Assume that free throws are independent, and that each player takes two free throws during a particular game. What is the probability that Larry Bird makes exactly one of his two free throws?
Every morning a math instructor picks out two socks completely at random from his closet; there's only a 20% chance they match. If they don't match there is a 60% chance his students will laugh at him, while if his socks do match there is only a 10% chance of his students laughing at him. On a given day, what is the probability that his students laugh at him?
A marketing firm tracks data on grocery store visits. In one study, it finds that the probability that a shopper buys bread during a visit to the grocery store is 0.60, and the probability that a shopper buys cheese is 0.25. Event A = A shopper buys bread. Event B= A shopper buys cheese. A and B are independent events if