Arizona's ‘Cash 4” is a
a. Find the probabilities of winning first prize, second prize, and third prize.
b. Use the results of parts a and the Complement Rule to find the probability of losing.
c. Use the results of parts a and b to find the expected value of Cash 4.
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Chapter 3 Solutions
Mathematics: A Practical Odyssey
- In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?arrow_forwardIn a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?arrow_forwardThe trifecta at most racetracks consists of selecting the first-, second-, and third-place finishers in a particular race in their proper order. If there are six entries in the trifecta race, how many tickets must you purchase to guarantee a win?arrow_forward
- When you buy a one-dollar ticket for a state's lottery, you are trying to match 5 numbers drawn from 45 numbers, in any order without replacement. What is the total number of possible winning tickets?arrow_forwardwe are going over the guess and check method. and im having trouble setting up this problem."Rachel works two different jobs. She is paid $15 per hour as a caretaker for a senior citizen and $8 per hour as a dog walker. last week she worked a total of 21 hours and earned a total of $280. How many hours did she work at each job that week?"arrow_forwardSeveral states have an annual raffle called the Millionare Raffle. A ticket with a unique 6-digit number cost $20 and if the numbers on your ticket are matched, you can win a prize. There are 4 prizes worth $1 million and 12 prizes of $100,000. Suppose only 125,000 tickets are sold. What are your expected winnings?arrow_forward
- A grab bag contains 12 packages worth $.80 each, 15 packages worth $.40, and 25 packages worth $.30. Would it be worth playing if you had to pay $.50 to choose a package? (Not handwritten)arrow_forwardAt roulette, there are 38 slots. A "column" consists of 12 of these slots. A column pays 2 to 1. So, if you risk $1 on a column and win, you net gain +2 dollars. If you lose, your net equals –1 dollar. Suppose you will play for 100 rounds and bet one dollar on a column each round. (You may enter values rounded to the nearest cent. Beware of carried rounding error.) Your average net gain per play equals 0.0526 dollars. The SD of your net gain per play equals 1.39 dollars. The expected value of your total net gain after 100 plays equals -5.3 dollars. The standard error of your total net gain after 100 plays equals 13.94 dollars.arrow_forwardJanice was given a piggy bank on her seventh birthday, and she put it to use immediately. Each time she puts one or more coins into the piggy bank, she keeps track of the number of coins she has collected to date and the accumulated value of her collection. Janice collects only nickels, dimes, and quarters. Six months after her seventh birthday, Janice looked at her record and ascertained that she had collected 840 coins, which were worth $96. (a) How many combinations of coins are possible in Janice's collection? combinations (b) Janice counted 100 quarters in her savings. How many nickels and dimes are in her collection? nickels dimesarrow_forward
- When a law firm represents a group of people in a class action lawsuit and wins that lawsuit, the firm receives a percentage of the group's monetary settlement. That settlement amount is based on the total number of people in the group – the larger the group and the larger the settlement, the more money the firm will receive. A law firm is trying to decide whether to represent car owners in a class action lawsuit against the manufacturer of a certain make and model for a particular defect. If 5 percent or less of the cars of this make and model have the defect, the firm will not recover its expenses. Therefore, the firm will handle the lawsuit only if it is convinced that more than 5 percent of cars of this make and model have the defect. The firm plans to take a random sample of 1000 people who bought this car and ask them if they experienced this defect in their cars. From the perspective of the law firm, would you recommend that the significance level of a = 0.01 or a = 0.10 be used…arrow_forwardDuring his short stint as Shadow Finance Minister, Barnaby Joyce displayed a curious grasp of numbers. One of his most infamous exclamations was “All this billions, quillions, Brazilians.” Less well known was his tax-reform proposal, recommending that if you earn $x per day, you are taxed x% of that amount (with the understanding that you pay 100% tax if you earn $100 or more per day. Under Senator Barnaby’s plan, which amount x gives you the highest earnings after tax has been taken out?arrow_forwardJanice was given a piggy bank on her seventh birthday, and she put it to use immediately. Each time she puts one or more coins into the piggy bank, she keeps track of the number of coins she has collected to date and the accumulated value of her collection. Janice collects only nickels, dimes, and quarters. Six months after her seventh birthday, Janice looked at her record and ascertained that she had collected 840 coins, which were worth $90 .Janice counted 100 quarters in her savings. How many nickels and dimes are in her collection? Pls help if possible in textarrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL