Answered: 1 10) Arvin is playing a game where he…

1 10) Arvin is playing a game where he rolls two 6-sided dice and adds the numbers His chances of winning are win? What are the possible sums he would need to roll in order to 36

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ (c) Is this game fair? Yes No
Catalina participates in a game that consists of spinning a roulette with 6 segments of the same size numbered from 1 to 6. The roulette randomly stops at a numbered segment.This is the game: Catalina spins the wheel only once. She wins $ 1 if the wheel stops at number 1, $ 3 if the wheel stops at number 2, $ 5 if the wheel stops at number 3, and $ 7 if the wheel stops at number 4. She loses $ 1.25 if roulette stops at 5 or 6. (a) Calculate the expected value of participating in the game.____ pesos b) What can Catalina expect in the long run after playing several times?1) Catalina can expect to earn money.She can expect to earn ___ pesos per spin of the roulette wheel. 2) Catalina can expect to lose money.She can expect to lose ___ pesos per spin of the roulette wheel. 3) Catalina can expect to draw (she neither wins nor loses money)
Tyler was given the followng counting problem to solve: " You are dealt five cards from a standard deck 52 cards. How many of these hands have at least one queen and at least one spade." He breaks this into two cases. In the first case, he looks at hands which contain the queen of spades. There is 1 way of choosing the Queen of Spades, and 51C4 ways of choosing the other four cards. In the second case, he will start by choosing a non-spade queen ( 3 ways) and a non-queen spade (12 ways). There are 50 cards remaning, so he also throws away the Queen of Spades so that he doesn't overlap case 1. This gives 49C3 ways of choosing the last three cards. He concludes that the answer is 51C4 + (3 x 12 x 49C3). His answer is wrong, explain why and give the correct answer.
A technology store holds a contest to attract shoppers. works: An ace and four other cards are shuffled and placed face down on a table. The customer gets to turn over cards one at a time, looking for the ace. The person wins $100 of store credit if the ace is the first card, $50 if it is the second card, and $20, $10, or $5 if it is the third, fourth, or last card chosen. What is the average dollar amount of store credit given away in the contest? Estimate with a simulation of 10 trials. Once an hour, someone at checkout is chosen at random to play in the contest Here's how it 67819 00354 91439 91073 49258 15992 41277 75111 67496 68430 09875 08990 27656 15871 23637 00952 97818 64234 50199 05715
Suppose you play a game with a biased coin. You play each game by tossing the coin once. and . If you toss a head, you pay $10. If you toss a tail, you win $11. if you play this game many times, will you come out ahead? (i.e. will you gain extra money from playing this game?) (Be sure to use fractions in the table.)
1. Create a word problem that would involve both rules of FCP (Rule of Sums and Product)2. Illustrate the solution needed to answer the problem.
Toward the end of a game of Scrabble you hold the letters D,O,G and Q. You can choose three of these four letters and arrange them in order in how many different ways?
A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?
2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.
A father and his three children decide to hold a vote to select an after dinner activity. They will either see a play or a movie. If the majority of the family agrees on a preferred activity, then they will do that activity. If two family members vote to see a play and the other two family members vote to watch a movie, then (since the father will pay for the activity), the father's vote will be used to break the tie. (a) How many winning coalitions are there in this situation? (b) Find one of the children's Banzhaf power index.