MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5
Suppose there is a carnival game where you select 1 card out of a deck of 55 cards.
Inside the deck there is 1 Ace, 3 Kings, 4 Queens, and 47 Blanks.
The payouts for the game are as follows:
Draw an Ace: Win 15 dollars
Draw a King: Win 5 dollars
Draw a Queen: Win 3 dollars
Draw a Blank: Lose 1 dollar
(a) Construct a probability model for this game.
(b) Calculate the probability that you WIN money on any one play of the game.
(c) Calculate the probability that you LOSE money on 10 plays of this game in a row.
(d) Calculate the expected value for this game. Interpret this value. Is this a good or bad game?
(e) Suppose that after 80 plays of this game you have lost a total of 14 dollars. Is this better
or worse than predicted by the expected value?
(f) What should drawing an Ace pay for this game to be fair?
Transcribed Image Text:Suppose there is a carnival game where you select 1 card out of a deck of 55 cards. Inside the deck there is 1 Ace, 3 Kings, 4 Queens, and 47 Blanks. The payouts for the game are as follows: Draw an Ace: Win 15 dollars Draw a King: Win 5 dollars Draw a Queen: Win 3 dollars Draw a Blank: Lose 1 dollar (a) Construct a probability model for this game. (b) Calculate the probability that you WIN money on any one play of the game. (c) Calculate the probability that you LOSE money on 10 plays of this game in a row. (d) Calculate the expected value for this game. Interpret this value. Is this a good or bad game? (e) Suppose that after 80 plays of this game you have lost a total of 14 dollars. Is this better or worse than predicted by the expected value? (f) What should drawing an Ace pay for this game to be fair?
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