Kaitlin has a bag with 8 balls numbered 1 through 8. She is playing a game of chance.This game is this: Kaitlin chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $24f the number 2 is selected, $3 if the number 3is selected, $4 if the number 4 is selected, and $5 if the number 5 is selected. She loses $1 if 6, 7, or 8 is selected.(a) Find the expected value of playing the game.dollars(b) What can Kaitlin expect in the long run, after playing the game many times?(She replaces the ball in the bag each time.)O Kaitlin can expect to gain money.She can expect to win dollars per selection.O Kaitlin can expect to lose money.She can expect to lose dollars per selection.O Kaitlin can expect to break even (neither gain nor lose money).

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Answered: Kaitlin has a bag with 8 balls numbered…

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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The game of American roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. Gamblers can place bets on red or black. If the ball lands on their color, they double their money. If it lands on another color, they lose their money. Suppose you bet $9 on red. What's the expected value and standard deviation of your winnings?
For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed cards. Each card has one of four possible amounts: $10, $25, $50, and $100, and each amount has an equal probability. He is not allowed to open the card. Complete the table and answer the questions.
Ravi is at the grand opening celebration of a supermarket. He spins a wheel with 10 equal-sized slices, as shown below. The wheel has 2 black slices, 4 grey slices, and 4 white slices. When the wheel is spun, the arrow stops on a slice at random. If the arrow stops on the border of two slices, the wheel is spun again. (a) If the arrow stops on a grey slice, then Ravi wins a gift card. Find the odds against Ravi winning a gift card. 0 (b) If the arrow stops on a grey slice, then Ravi wins a gift card. Find the odds in favor of Ravi winning a gift card. X to
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
Laura has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is this: Laura chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is selected, $6 if the number 4 is selected, $8 if the number 5 is selected, and $10 if the number 6 is selected. She loses $14 if 7 or 8 is selected. (a) Find the expected value of playing the game. dollars (b) What can Laura expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) O Laura can expect to gain money. She can expect to win dollars per selection. O Laura can expect to lose money. She can expect to lose dollars per selection. O Laura can expect to break even (neither gain nor lose money). X
A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots. Whatever is listed in that spot will be the player's winnings. If the wheel has 8 spots labeled $1, 16 spots labeled $2, and 1 spots labeled $10, how much should a player expect to win on average?
Jina has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is this: Jina chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $2 if the number 2 is selected, S3 if the number 3 is selected, S4 if the number 4 is selected, and $5 if the number 5 is selected. She loses $5 if 6, 7, or 8 is selected. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Jina expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) O Jina can expect to gain money. She can expect to win | dollars per selection. O Jina can expect to lose money. She can expect to lose dollars per selection. O Jina can expect to break even (neither gain nor lose money).
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.
Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and two yellow ones). How many outcomes are there in the event that all of the marbles he picks are red?
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