A game is played by picking a card from a standard deck of cards and is returned for the nextgame. The player receives P1040 if an ace card is picked, P520 if a face card is picked, and payP260 if the card picked is any of the other cards in the deck.If X is the random variable for the gain in this game, which of the following conclusions iscorrect?O The game is fair since the expected value of the gain is 1300O The game is not fair since the expected value of the gain is 20.O The game is fair since the expected value of the gain is 20.The game is not fair since the expected value of the gain is 1300

Introduction: Denote the random variable, X as the amount of gain in a random play of the game.…

Answered: A game is played by picking a card from…

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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Similar questions

Hector plays a game with a friend. They have a bag which contains 13 red stones and 3 black stones. They pay $1 and pull out a stone. If the stone is black, Hector wins $6. If the stone is red, Hector wins nothing.. What is the expected value of the game?
A bag contains 1 gold marbles, 10 silver marbles, and 29 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game?
In a bag there are 8 red balls, and 2 pink balls. You pay 3 dollars to draw 2 balls. If you draw 2 red balls you lose, if you draw a red and pink you win 8 dollars, and if you draw 2 pink you get 90 dollars. Find the expected value of this game and round you answer to the nearest cent.
A game is played with two fair 6-sided dice. The player rolls the dice. If the sum of the dice is 7 or less, the player loses $4. If the sum of the dice is 8 or 9, the player breaks-even. If the sum of the dice is 10 or greater, the player wins $10. The random variable X is a player’s gain (in $) from playing this game. a) Find P(X = 0). Give your answer as a fraction in lowest terms. P(X = 0) = Blank 1. Fill in the blank, read surrounding text. b) Find E(X). Give your final answer as a decimal. If rounding, give to 2 decimal places. E(X) = Blank 2. Fill in the blank, read surrounding text. dollars c) Find the standard deviation s for the random variable X. Give the final answer as a decimal rounded to 2 decimal places. s = Blank 3. Fill in the blank, read surrounding text. dollars
A bar offers alcoholic and non-alcoholic beverages. They have 12 alcoholic beverages that cost $10 or more, and 5 alcoholic beverages that cost less than $10. They also have 5 non-alcoholic beverages that cost $10 or more, and 10 non-alcoholic beverages that cost less than $10. Suppose I choose a drink at random from the menu. What is the chance that it is alcoholic, given that costs $10 or more? Choose the answer that is closest. Group of answer choices 70.6% 33.33% 37.5% 20.5%
An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him. To play you must pay him $2. If you pick a spade you win $9 what is the expected value for you if you play this game with the aardvark?
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
A bag contains 2 gold marbles, 7 silver marbles, and 21 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.What is your expected value if you play this game?
qm7 4 Suppose a jar contains 5 red marbles and 19 blue marbles. If you reach in the jar and pull out 2 marbles at random, what is the probability that both are red? % Round to 2 places.
Q3: A box of light bulbs contains (20% defective). If (10) bulbs are selected randomly. What is the probability that (9) light bulbs are non-defective ?

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