Texas is starting a lottery game. Play-ers use a machine that randomly selects 7distinct numbers from among the first 28 pos-itive integers and prints them on a ticket.The lottery randomly selects 7 distinct num-bers from the same 28 positive integers. Awinning ticket exactly matches the same setof 7 numbers that the lottery selected. Or-der is not important. Tickets cost one dollar.Each winning ticket receives a prize amountof 350, 000. No other prizes are given by thislottery. Calculate the probability that Texaswill lose money, given that 450, 000 tickets arepurchased.

To calculate the probability that Texas will lose money, we need to determine the expected value of…

Answered: Texas is starting a lottery game. Play-…

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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Similar questions

A certain digital music player randomly plays each of 10 songs. Once a song is played, it is not repeated until all the songs have been played. In how many Different ways can the player play the 10 songs? Ans: b.Forming a Committee Four members from a 50-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible? Ans: C Simple Random Sample How many different simple random samples of size 7 can be obtained from a population whose size is 100?
Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such as 7359. During the lottery drawing, there are four bins, each containing balls numbered 0 throug 9. One ball is drawn from each bin to form the four gigit winning number. There are many variations of this game. The primary variation allows you to win if the four digits in your numuber are selected in any order as long as they are the same four digits as obtained by the lottery agency. For example, if you pick four digits makng the number 1265, then you will win if 1265, 2615, 5216, 6521, and so forth, are drawn, The variations of lottery game depend on how many unique digits are in your umber. Consider the following four different versions of this game. Find the proability: 4) One digit appears three times
A. A major Lottery game called 6/58 is very famous in the Philippines. A lucky winner will emerge if he picks 6 correct numbers in any order from the numbers 1 to 58. How many 6 number combinations are there in this kind of lottery game?
A penny is flipped, a dime is flipped, a 6-sided red die is rolled, and a 6-sided green die is rolled. How many possible outcomes are there? (Enter your answer as a single integer--no words.)
A computer program generates random numbers. The numbers have 3 digits which cannot be repeated, and they must be divisible by 5. How many unique numbers can the program generate?
How many possibilities are there for the win, place, and show (first, second, and third) positions in a horse race with 12 horses if all orders of finish are possible?
In the California Daily 4 lottery, four digits are randomly selected each day. Listed below are the digits that were selected in one recent week. Construct a DOTPLOT by hand, of course. Does the DOTPLOT suggest the lottery is basically fair? 5, 3, 8, 9, 2, 9 ,1, 1, 3, 0, 9 ,7 ,3, 8, 7 ,4, 7 ,4 ,8, 5, 6, 8, 0, 0, 4, 7, 5 ,3
There are 37 numbered balls in a drum (think lottery). A robot randomly picks 6 balls, I also randomly pick 6 balls. In how many ways can 4 of the balls picked by me be among the 6 balls picked by the robot?
If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many possible ways can at least 2 of the marbles picked are blue? 1 638 588 O 1 050 O 903
Four members from a 43-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. How many different leadership structures are possible? There are possible different leadership structures. (Type an integer or fraction. Simplify your answer.)
If a bank sends a random 5-digit number to customers for security, how many potential numbers are there if the bank only uses 1, 2 or 3 for the first digit and any number for the other four digits? 2,000 6,000 15,400 30,000 49,000
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?

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