5. Suppose you are dealing two 5-card hands from a standard deck, one to yourself and one to a friend.Further suppose that you can control exactly what hand you will be dealt. What hand would youdeal yourself so that the probability of your friend being dealt a straight flush is minimized? Explainyour answer.

Answered: Image /qna-images/answer/f6e408f9-e401-407b-a588-0af5ea82915c.jpg

Answered: 5. Suppose you are dealing two 5-card…

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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In a group of girls there are 10 girls with blue eyes, 12 girls with brown eyes and 6 girls with green eyes. In a group of boys there are 11 boys with blue eyes, 9 boys with brown eyes and 7 boys with green eyes. What is the probability of getting both a boy and a girl with blue eyes?
The sales agent Parson works in three cities A, B and C. To avoid unnecessary travel, he stays all day in the same city and spends the night there, moving to another city the next day if he does not have enough work. After working one day in C, the probability of having to continue working there the next day is 0.4, the probability of having to travel to B is 0.4 and the probability of having to travel to A is 0.2. If the traveler sleeps one day in B, with a probability of 20% he will have to continue working in the same city the next day, in 60% of the cases he will travel to C, while he will go to A with a probability of 0.2. Finally, if the sales representative works all day in A, he will remain in the same city the next day with a probability of 0.1, he will go to B with a probability of 0.3 and to C with a probability of 0.6. A) If today the commuter is in C, what is the probability that he will also have to work in C on the fifth day B) What are the percentages of days that the…
An engineer decides to buy four new snow tires for his car. He finds that Retailer A is offering a special cash rebate, which depends on how much snow falls during the first winter. If this snowfall is less than 50% of the mean annual snowfall for his city, his rebate will bet 50% of the list price. If the snowfall that winter is more than 50% but less than 75% of the mean annual snowfall, his rebate will be 25% of the list price. If the snowfall is more than 75% of the mean annual snowfall, he will receive no rebate. The engineer finds from a reference book that the annual snowfall for his city has a mean of 80 cm and standard deviation of 20 cm and approximates a normal distribution. The list price for the brand and size of tires he wants is $80.00 per tire. The engineer checks other retailers and finds that Retailer B sells the same brand and size of tires with the same warranty for the same list price but offers a discount of 5% of the list price regardless of snowfall that…
Your friend offers to place a bet with you. He will pay you $2 if your favorite sports team wins the game on Tuesday night. But you will pay him $3 if his team wins. Your team has an 55% chance of winning, whereas his only has a 45% chance. This bet is in your favor. True or False?
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?
The game board for the television show Jeopardy is divided into 6 categories with each category containing 5 answers. In the Double Jeopardy round, there are 2 hidden "Daily Double" squares. What are the odds against choosing a "Daily Double" square on the first turn? Briefly explain your reasoning.
There are 2 different fire alarm systems in the store. System A detects fire with a probability of 0.67 and costs 2 times cheaper as system B. System B detects fire with a probability of 0.9. Which option is better: to set one system B or two system A?
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 )
Kim has a bag of 10 white marbles and 15 black marbles. What is the probability that she will choose to marbles that are both the same colour without replacement
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