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players compete against by roming dice, Tace Alphonso's die has an 8, and the other five faces are all 2's. Bettina's die has four 3's and 's on the six faces. a) They each roll their die and the player with the higher score wins. Which player ha the advantage? Explain. b) If Alphonso wins, Bettina pays him $10. How much should he pay her if she wins ir order to make the game fair?

players compete against by roming dice, Tace Alphonso's die has an 8, and the other five faces are all 2's. Bettina's die has four 3's and 's on the six faces. a) They each roll their die and the player with the higher score wins. Which player ha the advantage? Explain. b) If Alphonso wins, Bettina pays him $10. How much should he pay her if she wins ir order to make the game fair?

A First Course in Probability (10th Edition)
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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Two players compete against each other by rolling dice, but not traditional dice. One face of Alphonso's die has an 8, and the other five faces are all 2's. Bettina's die has four 3's and two 1's on the six faces. a) They each roll their die and the player with the higher score wins. Which player has the advantage? Explain. b) If Alphonso wins, Bettina pays him $10. How much should he pay her if she wins in order to make the game fair? c) They decide to change the rules. They will each roll and the winner will collect the number of dollars shown on the die. Create a probability distribution for the amount that Alphonzo wins. d) Find the expected value and standard deviation of Alphonse's winnings. e) If they play the new game repeatedly, which player has the advantage? Explain.
Transcribed Image Text:Two players compete against each other by rolling dice, but not traditional dice. One face of Alphonso's die has an 8, and the other five faces are all 2's. Bettina's die has four 3's and two 1's on the six faces. a) They each roll their die and the player with the higher score wins. Which player has the advantage? Explain. b) If Alphonso wins, Bettina pays him $10. How much should he pay her if she wins in order to make the game fair? c) They decide to change the rules. They will each roll and the winner will collect the number of dollars shown on the die. Create a probability distribution for the amount that Alphonzo wins. d) Find the expected value and standard deviation of Alphonse's winnings. e) If they play the new game repeatedly, which player has the advantage? Explain.
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