Several turns later you end up in jail (in the game): the rules says that on...

Several turns later you end up in jail (in the game): the rules says that on your turn if you roll a six-sided die three times without getting a 1 you get out of jail. What is the probability that you will not get out of jail on your next turn, i.e. what is the probability that you roll a one at least once in three rolls?

Solutions

Expert Solution

P(getting 1 in single die) = 1/6

P(not getting 1 in three times) = (1 - 1/6)³ = 0.5787

P(you will not get out of jail on your next turn) = P(rolling a 1 at least once in three rolls)

= 1 - P(not getting 1 in three times)

= 1 - 0.5787

= 0.4213

orchestra answered 1 year ago

Next > < Previous

Related Solutions

You and a friend are playing a game. You alternate turns rolling a single die, and...

You and a friend are playing a game. You alternate turns rolling a single die, and the first person to roll a 1 or a 2 wins. Your friend goes first. a. What’s the probability that the game ends in three rolls or fewer? b. What’s the expected number of rolls? c. What’s the probability that your friend wins?

Use the exact values you enter to make later calculations. The set up in the diagram...

Use the exact values you enter to make later calculations. The set up in the diagram below relates to a classic inclined plane problem that is typically solved using free body diagrams and Newton's Second Law of Motion. You will work through this inclined plane problem using Conservation of Mechanical Energy instead. You may ignore friction and assume that the system is initially at rest. (a) If m1 falls down 3.0 m, what is the change in potential energy ?U1...

A Betting Game You roll a die. If an odd number comes up, you lose. If...

A Betting Game You roll a die. If an odd number comes up, you lose. If you get a 6, you win $60. If it is an even number other than 6, you get to roll again. If you get a 6 the second time, you win $36. If not, you lose. (a) Construct a probability model for the amount you win at this game. Explain briefly how you obtain the probabilities associated with the different amounts of winning. (b)...

(2) You are told that standing up during the Cowboys football game will give you a...

(2) You are told that standing up during the Cowboys football game will give you a better view of the field. However, if everyone stands up at the same time, then your view is obscured. This example best describes: Group of answer choices inclusion of an irrelevant variable. an omission of a relevant variable. a violation of ceteris paribus . a fallacy of composition. a post hoc ergo propter hoc fallacy. (3)Use the following regression model and statistical data for...

End user programs are designed for specific functions such as word processing or a game. You...

End user programs are designed for specific functions such as word processing or a game. You have installed a new piece of applications software onto a stand-alone PC. You then find that the printer attached to the PC fails to produce what can be seen on screen in that package. Explain clearly why this might happen.

Imagine that you are a physician today. You slip through a wormhole and end up in...

Imagine that you are a physician today. You slip through a wormhole and end up in a parallel dimension at a dinner table with Benjamin Rush, Egas Moniz, and, oddly enough, Doctor Oz. In at least 200 words use your perspective as a modern physician (and one who understands the historical context of these respective doctors) to tell them what you think they got right and got wrong about their approaches to health and medicine. In your response, be sure...

What would you end up with if you left Tk. 1000 in the account for 5...

What would you end up with if you left Tk. 1000 in the account for 5 years at 8% interest rate? You get Tk 50,000 from your uncle. You would like to deposit this money in Dhaka Bank. At present bank offers 8% interest for time deposit. How much shall it grow after 10 years? How much it will be if compounded. i) Semiannually ii) Quarterly iii) Monthly Your father receives Tk 3,00,000 from selling a property. Now he would...

Do you end up paying the same amount of money for a bond issued at a...

Do you end up paying the same amount of money for a bond issued at a discount or a bond issued at a premium ?

You are the Finance Director of a start-up that delivers online ads to end users and...

You are the Finance Director of a start-up that delivers online ads to end users and you are about to approve the budget for the next fiscal year. You notice that your team has projected the annual revenue goal through equal increase of monthly ad deliveries, which assumes least number of deliveries in January and the most number of deliveries in December. Before approving the budget, you want to make sure that there is indeed such a difference between the...

You set up a college fund in which you pay $2500 each year atthe end...

You set up a college fund in which you pay $2500 each year at the end of the year. How much money will you have accumulated in the fund after 10 years, if your fund earns 8% compounded annually?

Subjects