.) Create a probability distribution for a player’s winnings in one game. b.)Find the expected value of the player’s winnings. State your answer in a sentence. c.) Will the casino make money or lose money if this game is played 500 times? How much?

.) Create a probability distribution for a player’s winnings in one game. b.)Find the expected value of the player’s winnings. State your answer in a sentence. c.) Will the casino make money or lose money if this game is played 500 times? How much?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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Question

A casino game involves a deck of 20 cards, 3 of which have a gold star on them. A player picks a
card at random. If they pick a card with a star, they win $30. If they pick a card with no star, they
lose $5.

a.) Create a probability distribution for a player’s winnings in one game.

b.)Find the expected value of the player’s winnings. State your answer in a sentence.

c.) Will the casino make money or lose money if this game is played 500 times? How much?

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Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.
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