A small-town carnival has a simple game that you can play with a number cube. If you roll a 6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After watching other children play the game 50 times, only 2 children have won a teddy bear. You decide to simulate the game with a random number table. a) Determine labels for your outcomes. b) Using the random number table below, determine how many times a “6” appears in 50 trials. c) What percentage of a “6” in 50 trials did you get from the simulation?

A small-town carnival has a simple game that you can play with a number cube. If you roll a 6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After watching other children play the game 50 times, only 2 children have won a teddy bear. You decide to simulate the game with a random number table. a) Determine labels for your outcomes. b) Using the random number table below, determine how many times a “6” appears in 50 trials. c) What percentage of a “6” in 50 trials did you get from the simulation?

Name: . A small-town carnival has a simple game that you can play with a num
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: . A small-town carnival has a simple game that you can play with a number cube. If you roll a 6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After watching other children play the game 50 times, only 2 chi

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...

See similar textbooks

Related questions

Q: Kaj is designing a new board game, and is trying outcomes. How many different possible outcomes are…

A: given data flip a coin outcomes s1 : {head,tail} spin a spinner outcomes s2 :…

Q: a certain game involves tossing 3 fair couns and it pays 22 cents for 3 heads, 9 cents for 2 heads a…

Q: You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money…

Q: A game involves tossing two coins and receiving 70¢ if they are both heads. What is a fair price to…

A: When we toss two coins the sample space is S={HH,HT,TH,TT} n(S)=4 Let E be the event of getting both…

Q: (a) Find the expected value of playing the game. O dollars |(b) What can Hans expect in the long…

A: HERE HAN IS PLAYING GAME IN WHICH HE SPINS A SPINNER .EACH SILCE NUMBERED 1 TO 6 HAS EQUAL CHANCE SO…

Q: Bar Dice. It is not uncommon after a round of golf to find a foursome in the clubhouse shaking the…

Q: Karen has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is…

A: Given Data: To Find: (a) Expected value (b) what can Karen expect in the long run ,after playing the…

Q: Players A and B take turns taking one or two pennies from a pile of pennies. The player to takes the…

Q: Bar Dice. It is not uncommon after a round of golf to find a foursome in the clubhouse shaking the…

A: a)Special Multiplication Rule

Q: A certain game involves tossing 3 fair coins, and it pays 20¢ for 3 heads, 9¢ for 2 heads, and 5¢…

A: Given data A certain game involves tossing 3 fair coins it pays 20c for 3 heads , 9c for 2 heads ,…

Q: 5. Mr. Bemard and Mr. Meyer go out to lunch and play a game called "One Hundred". Each player puts…

A: The hint helps us develop a strategy for the game and find the guy who ends up winning when both…

Q: The presenter of the game show 'Let's Make a Deal' is fed up with his work. He decides to steal the…

A: a) If the jailer is playing with the "don't switch doors" strategy, then his chance of winning the…

Q: A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and 3¢…

A: Given A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and…

Q: The 3-card Thriller game costs $3 to play and involves a 3-card deck where: • one card has red on…

A: Given the experiment as a 3-card Thriller game.

Q: 2. You're facing your friend, Brenda, in a "candy-off" game involving a pile of 100 caramels and one…

A: Ans:- a) If Brenda lets you decide who goes first, you should go first. To ensure that you win the…

Q: In strategy games, in addition to the common 6-sided dice, dice having 4, 8, 12, or 20 sides are…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: 3. Sudoku puzzles are popular number-based puzzles. A game consists of a 9 x 9 grid made up of nine…

Q: A game consists of spinning a wheel that is divided into 8 differently colored sectors (red, blue,…

Q: The game board for the television show Jeopardy is divided into 4 categories with each category…

Q: One spinner has two sections. They are marked A and B .Another spinner has three sections.…

A: The objective of the question is to determine the total number of outcomes from spinning three…

Q: Hangman is a paper and pencil guessing game for two players. One player thinks of a word, phrase or…

A: a)Only seven guesses are allowed for the player, Hence the word length can be from 4,5,6,7. If the…

Q: Raina is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A: outcome(rolling on spinner) winning amount(x) P(x) x*P(x) 1 1 1/6 1/6 2 3 1/6 3/6 3 5 1/6 5/6…

Q: A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes…

A: Given data

Q: A spinner has four equally sized sectors that are numbered 1, 2, 6, and 6. The spinner is spun twice…

A: There are four sectors in spinner of equal size. The number on the sectors are 1, 2, 6, and 6. The…

Q: Tony is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6.…

A: Given that Tony is playing a game where he spins a spinner with 6 equal-sized slices.

Q: Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6.…

Q: XYZ company has designed a new lottery scratch-off game. The player is instructed to scratch off one…

A: The players are instructed to scratch off one spot from A, B, and C.A can reveal loser, win $1, or…

Q: o raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting…

A: given data die : {1,2,3,4,5,6,7,8} spinner:{blue ,red ,green ,orange} total possible outcomes = 8*4…

Q: (a) Find the expected value of playing the game. | dollars (b) What can Kaitlin expect in the long…

A: Here given spinner has 6 equal size sections So probability of spinner stop on each sections is 1/6…

Topic Video

Question

. A small-town carnival has a simple game that you can play with a number cube. If you roll a

6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After

watching other children play the game 50 times, only 2 children have won a teddy bear. You

decide to simulate the game with a random number table.

a) Determine labels for your outcomes.

b) Using the random number table below, determine how many times a “6” appears in 50 trials.

c) What percentage of a “6” in 50 trials did you get from the simulation?

d) What percentage of a “6” did you observe at the carnival?

e) How do your answers for parts (c) and (d) compare? What does this tell you about the

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Zara and Sue play the following game. Each of them roll a fair six-sided die once. If Sue’s number is greater than or equal to Zara’s number, she wins the game. But if Sue rolled a number smaller than Zara’s number, then Zara rolls the die again. If Zara’s second roll gives a number that is less than or equal to Sue’s number, the game ends with a draw. If Zara’s second roll gives a number larger than Sue’s number, Zara wins the game. Find the probability that Zara wins the game and the probability that Sue wins the game. Note: Sue only rolls a die once. The second roll, if the game goes up to that point, is made only by Zara.
A farmer grows
Y Ou are piaying a game involving a fair 6-sided die and a fair coin. First the die is rolled. If the number on the die is evenly divisible by 3 (i.e., either 3 or 6), then the coin is flipped twice, but if the number on the die is not evenly divisible by 3 (i.e., either 1, 2, 4 or 5), then the coin is flipped only once. You win $1 every time head appears on the coin and you win nothing every time a tail appears. а.) b.) did win some money. On one play of the game, determine the probability that you win some money. Determine the probability that the roll of the die was a 3 or a 6, given that you
5. Divide and conquer. You're again facing your friend, Brenda, in a "candy-off” game involving a pile of 100 caramels and the winner's prize: one peppermint patty. (Like before, you still LOVE peppermint patties!). On their turn, each player can remove a
You have been asked to play a card game. A card is dealt from a complete deck offifty-two cards (no jokers). A deck has 4 aces, 4 kings, 4 queens, 4 jacks, and 36 other cards.It works like this:• If the card is a ace, you lose $4.• If the card is a king or jack, you lose $10.• If the card is a queen, you win $8.• If the card is anything else, you win $1.Find the expected value of the game. Write the excepted value rounded to the nearest cent
At a back-to-school party, one of your friends lets you play a two-stage game where you pay $3 to play. The game works as follows: flip a fair coin, noting the side showing, and roll a fair standard 4-sided die (numbered 1–4), noting the number showing. If the die shows a 3 and the coin shows tails, then you win $22. If the coin shows heads and the die shows an even number, 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.
nick and Casey are playing darts on the board that has five regions labeled a, b, c, d, and e in which of the regions is a dart most likely to fall?
A roulette wheel has 38 numbers, with 18 odd numbers (black) and 18 even numbers(red), as well as 0 and 00 (which are green). You bet 5 dollars that the outcome is anodd number. If you win you get 10 dollars; otherwise you lose your 5 dollars. Note:assume the 0 and 00 numbers are considered even numbers What is your expected winnings? Which of these options is best: bet on an odd number or don’t bet? Why?
In the board game Clue, the object of the game is to determine the which character is the murderer, whichweapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestickin the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomesare possible?