To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $4 to play. The game works as follows: A fair 4-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, and orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $25. If the die shows an even number and the spinner does not show orange, then you win $10. 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. All probabilities should be exact. | P(X) b. Compute your expected net winnings for the game. Round your answer to the nearest cent. c. Is this game fair?

To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $4 to play. The game works as follows: A fair 4-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, and orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $25. If the die shows an even number and the spinner does not show orange, then you win $10. 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. All probabilities should be exact. | P(X) b. Compute your expected net winnings for the game. Round your answer to the nearest cent. c. Is this game fair?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 12CYU

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