4. Suppose you are playing a card game,and you have 3:1 odds of winning (thereare no ties; you only win or lose). Yourfriend Alicia-your sole opponent-looksat her hand and sighs. You think that thereis a 60% chance she sighs given you willwin, and there is a 50% chance she sighsgiven that you will lose. Using our updatingrule and the information given, what arethe odds that you will win?

Given Suppose you are playing a card game, and you have 3:1 odds of winning (there are no ties; you…

Answered: 4. Suppose you are playing a card game,…

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 you are playing a game where you bet $5 and have a 48% chance of winning. The bet is 1:1. What is the house edge on a single game?
The numbers racket is a well‑entrenched illegal gambling operation in most large cities. One version works as follows: you choose one of the 1000 three‑digit numbers 000 to 999 and pay your local numbers runner a dollar to enter your bet. Each day, one three‑digit number is chosen at random and pays off $600. The law of large numbers tells us what happens in the long run. Like many games of chance, the numbers racket has outcomes that vary considerably—one three‑digit number wins $600 and all others win nothing—that gamblers never reach "the long run." Even after many bets, their average winnings may not be close to the mean. For the numbers racket, the mean payout for single bets is $0.60 (60cents) and the standard deviation of payouts is about $18.96. If Joe plays 350 days a year for 40 years, he makes 14,000 bets. Unlike Joe, the operators of the numbers racket can rely on the law of large numbers. It is said that the New York City mobster Casper Holstein took as many as 25,000 bets…
If the odds a horse will win the Kentucky Derby is3:2 what is the probability the horse will win
One option in a roulette game is to bet $28 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the $28 you paid to play the game and you are awarded $28. If the ball lands elsewhere, you are awarded nothing and the $28 that you bet is collected. Find the expected payback for this roulette game if you bet $28 on red.
Three people are running for president of the student council. The polls show James has odds in favour of winning at 2:3, Rebecca has odds in favour at 7:13, and Henry has odds in favour at 1:3. Suppose that Henry withdraws and offers his support to Rebecca. Further, suppose that his supporters also switch to Rebecca. What is the probability of Rebecca winning now?
if odds that joel will get a job offer are 7:2, what is probability that he will get a job offer?
A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for $50, 15% for $500, and 10% for $1000. What are the odds of a player winning $500 or $1000?
In gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2:3 (read "2 to 3") or 2 2 (Note: If the odds of winning are the probability of success is 3' 5.) 2 3 The odds of an event occurring are 3:1. Find (a) the probability that the event will occur and (b) the probability that the event will not occur.
Role-playing games like Dungeons & Dragons use many different types of dice. Suppose that a four-sided die has faces marked 1, 2, 3, and 4. The intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. The faces are equally likely, and the two rolls are independent. What is the average (mean) intelligence for such characters?
Please answer correctly.
A game-show spinner has these odds of stopping on particular dollar values: 55% for $50, 20% for $100, 15% for $500, and 10% for $1000. What are the odds of a player winning $50 or $100?
You and a friend are big soccer fans and are debating the possibility that FC Barcelona will win the final of the UEFA Champions League against Manchester United. You are supporting Manchester United, but your friend tells you that the bookmakers have given the following odds for the game: 2:8 (Manchester United vs. FC Barcelona). What is the probability that Manchester United will win?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS