Select one:O a. 1O b. 1/1Oc 13O d. 3/O e.Of.Oh.15104 Here is a modified version of the Monty Hall problem: You're on a game show, given 5 doors. Behind one door is a car, behind othersare goats. You select a door, and the host, who knows everything, opens another door which has a goat at random, and then asks youwhether you want to switch doors.Suppose that you select door 1, and afterwards the host opens door 5. What is the conditional probability that the car is behind door 3?

After opening one door there are only 4 doors left unturned among which door one is selected while…

Answered: Here is a modified version of the Monty…

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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Suppose two dice, one blue and one red, are rolled and the outcomes of each are recorded. We define the following two events: A: sum of the roll is 9 B. the result of the blue die is a number greater than 3 Are the two events, A and B, independent events? A. Yes B. No
Suppose your hole cards are 7♥ 9♥, and your opponent’s hole cards are Q♣ 8♣. The flop and the turn are 3♥ 8♥ J♦ 2♣. What is the probability that you get a flush on the river?
Debi sells eggs at a farmer's market. She sells the eggs by the dozen, and most of the eggs are large white eggs but she also has some small brown eggs. If there is one small brown egg in every 3 dozen eggs, and Debi sells 20 dozen eggs, what is the probability that an eg chosen at random from the eggs that she sells is a sma brown egg?
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Suppose you are on a game show and there are three closed doors. Behind one door is a car, and behind the other two doors are goats. Choose one door at random. What is the probability that you chose the winning door (the car)?
At a local restaurant, you are allowed to pick one side with your dinner. Because you can only choose one, your side choice is mutually exclusive of all the other sides to chose from. On any given day, there is a 0.34 chance you will pick an fries, and a 0.1 chance you will pick an veggies. Today, you do not pick an veggies; what is the probability you pick fries today?
Ernie has a bag of candy that contains 8 peppermint patties and 12 caramels. If he reaches into the bag and pulls out one bar and then a second bar at random, what is the probability that they will both be peppermint patties? O 2/3 2/5 7/19 O 14/95
Your friend tells you she has 10 coins in her hand (just pennies, nickels, dimes and quarters). If you guess how many of each kind of coin she has, she will give them to you. If you guess randomly, what is the probability that you will be correct? -
You have a bag of fourteen candies; 2 each of purple, green and yellow, and 4 each of pink and red. Calculate the following probabilities. Answer in fractions 2)What is the probability of choosing a purple first,then replacing it back into the Bag, and then choosing a red?
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only $3. • The sandwiches are made with either turkey or ham. • The fruit is either an apple or an orange. • The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich, an apple, and a bottle of water in your box? 1 4
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?

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