Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random.This game is this: Lisa spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinnerstops on the number 3, and $10 if the spinner stops on the number 4. She loses $11 if the spinner stops on 5 or 6.(a) Find the expected value of playing the game.| dollars(b) What can Lisa expect in the long run, after playing the game many times?O Lisa can expect to gain money.She can expect to win dollars per spin.O Lisa can expect to lose money.She can expect to lose dollars per spin.O Lisa can expect to break even (neither gain nor lose money).

Answered: Image /qna-images/answer/c80c7d6d-69d4-4330-8dd8-01c9ca972487.jpg

Answered: Lisa is playing a game in which she…

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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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.
Directions: Create two (2) problems illustrating a permutation situation. Be creative in your problem by citing some of your personal interests. Determine the number of outcomes in your created permutation problem.
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Maria is playing Potty Toss at the local fair. She gets a total of 4 shots and can win the following prizes. She can make 60% of her shots. • 4 rolls in the toilet the player will win a pair of Falcon tickets. • 3 rolls in the toilet the player will win a giant stuffed animal. • 2 rolls in the toilet the player will win a giant bag of candy. • 1 roll in the toilet the player will win a candy bar. • 0 roll in the toilet the player will not win a prize. What is the probability that Maria wins the Falcons Tickets or the Giant Stuffed Animal?
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.
You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to roll a six-sided die. She will give you $⁢4 times the number that appears on the die. Your mother says she wants you to spin a spinner with two outcomes, blue and red, on it. She will give you $⁢5 if the spinner lands on blue and $⁢15 if the spinner lands on red. Determine the expected value of each game and decide which offer you should take. The expected value for your sister's game: $$ The expected value for your mother's game: $$ Which offer should you take?
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.
a and b
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?
in a game of cards, the two players each have 5 cards and 8 cards have been discarded. Assuming a standard deck of 52 playing cards, what is the fraction of the cards remain?
In the game of musical chairs, 5 children compete to sit in 3 different chairs that are arranged in a line. At the end of the game only 3 of the 5 people will be seated. How many ways could the game end? Select one: 120 10 60
Jon flips a coin and writes down H of heads comes up or T if tails comes up. He does this 3 times. If the order of the results matters, how many possible outcomes are there? 8 9 4 6

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