Suppose you’re on a game show like Let’s Make A Deal and there are 4 doors to choose from. There are 3 mules and one car behind the four doors. Once you choose your door, the host will open one of the doors with a mule. This means that there are 3 unopened doors left, 2 with mules and 1 with the car. What is the probability of winning the car if you stick to your original choice? What is the probability if you switch to one of the other unopened doors? Explain your answer

Suppose you’re on a game show like Let’s Make A Deal and there are 4 doors to choose from. There are 3 mules and one car behind the four doors. Once you choose your door, the host will open one of the doors with a mule. This means that there are 3 unopened doors left, 2 with mules and 1 with the car. What is the probability of winning the car if you stick to your original choice? What is the probability if you switch to one of the other unopened doors? Explain your answer

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

Jordan went to shelter to adopt a dog. There were 10 brown dogs and 10 black dogs. Jordan picked a dog, went home, then decided he wanted to go back and adopt another dog. What is the probability that he picked two black dogs?
Mike has 7 white shirts and 4 blue shirts. He picks 3 of the shirts randomly to stuff in his suitcase for a trip. What is the probability that all 3 shirts selected will be white? What is the probability that all 3 shirts selected will be blue? What is the probability that he will select 2 white shirts and 1 blue shirt?
One bag of marbles contains two red, one yellow, one green, and one blue marble. Another bag contains one marble of each of the same four colors you pick one marble from each bag at the same time. Use the complement to find the probability of not selecting a yellow marble
Karey has three movie choices. She can choose between a comedy, a drama, or a thriller. She will want a snack as well. Her choices are popcorn, nachos & cheese, potato chips, or peanuts. What is the probability that she will watch a thriller and eat popcorn?
A coffee shop has a "manager surprise" drink that randomly chooses among 4 drinks. If Lee goes to the coffee shop for 3 days, what are the odds Lee would have been given the same drink all 3 days?
Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and two yellow ones). How many outcomes are there in the event that all of the marbles he picks are red?
A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws and must make both to win the game. What is the probability that Kay's team will win the game? Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo’s margin of error, rounded to the nearest whole number? (The formula is )
You have a bag of marbles and there are 5 Red, 7 Green, 2 Blue, 6 Yellow marbles. If you choose one at random, what is the odds it is a green marble?
Kay had an 80% probability of making a free throw in basketball and each free throw is independent Kay gets to take 2 free throws and must make them both to win the game what is the probability that lays team will win the game
If you are dealt five cards from a standard deck of 52 cards then find the probability of getting three tens and two aces.