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 3 and the coin shows tails, then you win $21. If the coin shows heads and the die shows an even number you win $12. Otherwise you don't 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. X P(X) b. Compute your expected net winnings for the game. Round your answer to the nearest cent, c. Is this game fair? ? v

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 3 and the coin shows tails, then you win $21. If the coin shows heads and the die shows an even number you win $12. Otherwise you don't 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. X P(X) b. Compute your expected net winnings for the game. Round your answer to the nearest cent, c. Is this game fair? ? v

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Description: 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 sideshowing, and roll a fair standard 4-sided die (numbered 1-4), noting the number showi

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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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 13 spots labeled $1, 15 spots labeled $2, and 7 spots labeled $10, how much should a player expect to win on average?