Frank is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice atrandom.This game is this: Frank spins the spinner once. He wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if thespinner stops on the number 3, and $10 if the spinner stops on the number 4. He loses $8.75 if the spinner stops on 5 or 6.S(a) Find the expected value of playing the game.dollars(b) What can Frank expect in the long run, after playing the game many times?O Frank can expect to gain money.He can expect to win dollars per spin.O Frank can expect to lose money.He can expect to lose dollars per spin.O Frank can expect to break even (neither gain nor lose money).CCEC

Answered: Image /qna-images/answer/266f1143-50e4-4cf1-becf-b08106723bdb.jpg

Answered: Frank is playing a game in which he…

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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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 spinner stops 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).
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: fip 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 $20. 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 () is this game fair? Yes ONO
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.
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
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?
Diana 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: Diana 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 spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $8.75 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. O pesos (b) What can Diana expect in the long run, after playing the game many times? O Diana can expect to gain money. She can expect to win pesos per spin. O Diana can expect to lose money. She can expect to lose pesos per spin. O Diana can expect to break even (neither gain nor lose money).

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