A prize is placed at random in one of three boxes. You pick a box (and do not openit). Now, the dealer (who knows where the prize is) chooses one of the other two boxes,opens it and shows you that it is empty. She then gives you the opportunity to keep youroriginal box or switch to the other unopened box. Find the probability of winning theprize if you switch. Find the probability of winning the prize if you stay. Should you stayor switch?

Let's assume that the prize is equally likely to be placed in any of the three boxes, and that you…

Answered: A prize is placed at random in one of…

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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Similar questions

A pet store has 10 puppies, including 4 poodles, 2 terriers, and 4 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle. Write your answer as a fraction.
You are dealt one card from a 52-card deck. Find the probability that you are dealt a red 7 or a black 8.
You randomly select one card from a 52-card deck. Find the probability of selecting a seven or a six.
Jennifer has 25 books on her bookshelf. She has 10 fiction books, and the rest are non-fiction books. If Jennifer selects a book at random, which expression represents the probability that the book she selects will be a non-fiction book? ASAP PLS.
You randomly select a number between 1 and 10 twice. Find the probability of selecting a multiple of 2 first and then selecting a multiple of 3.
You randomly select one card from a 52-card deck. Find the probability of selecting the five of hearts or eight of diamonds.
Suppose you have created a new playlist made up of 6 songs (2 rock, 2 hip-hop, and 2 trance). Find the probability that if the iPod is on shuffle, the first song played will be hip-hop and the second played will be trance. Your answer should be in fraction form.
The probability of winning on a slot machine is 8%. If a person plays the machine 300 times, find the probability of wining at most 20 times.
Use the multiplication and addition rules to calculate the probability that Louise and Robert will have two girls and two boys in any order (they want exactly four children).
In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find the probability that it is a large, red fish. Write your answer as a fraction.

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