A spinner contains two sections. You are playing a game where you must spin the spinner threetimes.1. Draw a tree diagram for the compound event of spinning the spinner three times.2. Using the tree diagram, identify the sample space for the compound event using setnotation.3. Find the probability for spinning a 1 on all three spins. 12A spinner contains two sections. You are playing a game where you must spin the spinner threetimes.

A spinner contains 2 sections numbered "1" and "2". We have to spin the spinner 3 times. You will be…

Answered: A spinner contains two sections. You…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter2: Equations, Inequalities, And Problem Solving

Section2.S: Summary

Problem 13S

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Please answer ASAP Consider the following game played by four individuals, players 1, 2, 3, and 4. Each individual has $10,000. Each player can donate between $0 and $10,000 to build a public park that costs $20,000. If they collect enough money, they construct the park, which is worth $9,000 to each of them. However, if they collect less than $20,000, they cannot build a park. Furthermore, regardless of whether the park is built or not, individuals lose any donations that they make. a) Describe the Nash equilibria for a simultaneous game. What makes them equilibria? Hint: There are many equilibria, so you may want to use a mathematical expression! b) Suppose that players 1, 2, and 3, each donate $4,000 for the park. How much will player 4 donate and why. What are the resulting payoffs for the players? c) Suppose instead that player 1 donated first, player 2 second, player 3 third, and player 4 last. Furthermore, players could only donate in intervals of 1,000 (0, $1,000, $2,000,…
California Lotto officials want to try out a new "big wheel" game. This new game actually consists of two big wheels (spinners). The contestants spin Spinner 1, and then immediately after, they spin Spinner 2 to determine the "multiplier." When both spinners have stopped turning, the dollar amount shown on Spinner 1 is multiplied by the "multiplier" on Spinner 2 and the contestant wins that much money. $100800 20 50 150dp $1000 0.5 135° s5000 100 Spinner 1 Dollars Spinner 2 Multipliers What is the probability of winning the largest amount of money?
Which of the following games is simultaneous? - Monopoly - Chess - Checkers - 1-2-3 pass
In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a blue side. The player shakes the cup and dumps out the chips. The player wins if both chips land red side up and loses if one chip lands red side up and one chip lands blue side up. The cost to play is $4 and the prize is worth $6. Is this a fair game. = Win a prize = Do not win a prize 1. Start by determining the probabilities for winning a prize and not winning a prize. Draw a probability tree to find the possible outcomes and the probabilities. After you draw the tree, check you work by clicking on the link below. Click to hide hint CHIP 1 CHIP 2 Probability P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 0.5 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25 Start 0.5 0.5 P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25
Avi and Benita are playing a game. They both start at 100 points (round 0). • At the end of each round, Avi earns 500 points. • At the end of each round, Benita's points double. At the start of what round will Benita take the lead? By how many points? Round 6, 600 points Round 6, 500 points Round 5, 500 points Round 5, 600 points
You are waiting for a bus. After some time, you became bored and decided to examine your pockets. In your left pocket you found one 10 cent coin and two 20 cent coins; in your right pocket you found one 10 cent coin and five 50 cent coins. You decided to play a game: to take out two coins from the left pocket and one coin from the right pocket. Which sum (of denominations of three coins) you expect the most?
Let’s examine the following game with a fair die. You select a number (not necessarilyan integer). I roll a fair die, and pay you $10, minus the square of the difference betweenyour guess and the number the die lands on. The game is played over and over again. Towin the most money in the long run, which number should you select? Explain.
In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a blue side The player shakes the cup and dumps out the chips. The player wins if both chips land red side up and loses if one chip lands red side up and one chip lands blue side up. The cost to play is $4 and the prize is worth $6. Is this a fair game. = Win a prize = Do not win a prize 1. Start by determining the probabilities for winning a prize and not winning a prize. Draw a probability tree to find the possible outcomes and the probabilities. After you draw the tree, check you work by clicking on the link below. Click to view hint 2. Create the probability distribution of the game. Fill in the missing parts of the chart. x → Number of Red Chips P(x) Result 1 Lose + Win + 3. Now find the expected value. x, Number of red chips X → Net Money Won or Lost P(x) 1 2$ 4. What is the expected Value? MacBook Air D00 F3 F4 F5 F7 F8 $ * 4 5 7 8 9 6.
Introduction: Here's the game: there are two boxes with four balls each. To play, you put on a blindfold and then pick one ball at random from each box. There are two red, one blue and one green ball in the box on the left. There are two blue, one red and one green ball in the box on the right. Payouts: • So if the balls are different colors, • S0.50 if they are both red, • Sl if they are both blue, and • $16 if they are both green. Question: If the game costs $1 to play, would you expect to gain or lose money on average? And how much? In your solution, you must show: • How you compute the probability that payout is $0. • How you compute the probability that payout is $0.50. • How you compute the probability that payout is S1. • How you compute the probability that payout is $16. Summarize the data into a probability table. • Compute the expected value. Remember to account for the $1 you pay to play the game. • Your conclusion.
You roll two dice. If the sum of the outcome of the two dice is 8 or more you win 100 dollars. However, if the sum is less than 8, you lose and you need to pay 60 dollars. Is this a fair game?
A roulette wheel has 30 slots, consisting of 2 blues, 8 whites, and 20 red slots. You will receive P100 if the roulette stops spinning on a blue slot, you will receive P50 on a white slot, but you will be penalized P10 if the roulette stops spinning on a red slot. Let X be the amount you will recieve (or pay). What are the possible values of X? x= 2, 8, 20 x= 100, 50, -10 x= 100, 50, 10 x= 30, 2,8, 20
you are playing a game in which a single die is rolled. if a 2 or a 5 comes up, you win $24, otherwise you lose $3. what is the price that you should pay to play game that would make the game fair?

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