3. At a county fair, you pay $2 to play the following game: You are given a fair coin, and two bags standin front of you, labelled Bag A and Bag B. You flip a coin: If your coin lands Heads, you pick a ballfrom Bag A. If your coin lands tails, you pick a ball from Bag B. Each ball has a dollar value written onit, and you win the number of dollars shown on the ball.Page 2• Bag A contains four (4) balls in total: Three (3) balls show $1, and one (1) ball shows $5.• Bag B contains three (3) balls in total: Two (2) balls show $2, and one (1) ball shows $3.leave with more money than you started with. You LOSE moneywith less money than you started with. You BREAK EVEN if you leave with the same money that youYou WINmoneyifyouifyou leavestarted with.Let H denote the event that you flip heads, T denote the event that you flip tails, W the event that youwin, and L the event that you lose. Let H denote the event that you flip heads, T denote the event that you flip tails, W the event that youwin, and L the event that you lose.(i)you flipped a Heads?You pay to play exactly one game. What is the probability that you WIN given that(ii)You pay to play exactly one game. What is the probability that you WIN?(iii)|What are the expected winnings from playing one game?

Answered: Image /qna-images/answer/6b97059b-904b-41d7-b116-3a1a07fca419.jpg

Answered: Let H denote the event that you flip…

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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You draw a card from a standard deck of 52 cards, replace it, and draw another card. Find each probability. (Enter your probabilities as fractions.) (a) P(jack and then black) (b) P(red and then spade) (c) P(four and then face card) (d) P(ace of hearts and then five)
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Exercise 7.2 The reaction times for a random sample of 9 subjects to a stimulant were recorded as 2.5, 3.6, 3.1, 4.3, 2.9. 2.3, 2.6, 4.1, and 3.4 seconds. Find a. the range b. the standard deviation c. the variance.
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K Suppose Emerson wins 41% of all checker games. (a) What is the probability that Emerson wins two checker games in a row? (b) What is the probability that Emerson wins three checker games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson wins three checker games in a row, but does not win four in a row. (a) The probability that Emerson wins two checker games in a row is (Round to four decimal places as needed.) (...)

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