Question

Consider this simple game. Pick a card from a regular deck with 52 cards. If you get a heart, you will win $2, otherwise, you will lose $1.

a) Play this game for one time, what is the probability that you can win.

b)Play this game twice, what is the probability that you can win.

c) Play this game 100 times. Find the probability that you can win.

Answer #1

A game of chance involves a regular deck of 52 cards. The game
costs $3 to play. If you draw an ace you win $20. If you draw a
face card you win $5. If you draw a 10 you win $3 and if you draw
any other card you lose. Calculate the expected winnings for the
player, calculate the expected profits for the game owner. Is this
a fair game? If not explain why the game owner would want...

We play a game with a deck of 52 regular playing cards, of which
26 are red and 26 are black. They’re randomly shuffled and placed
face down on a table. You have the option of “taking” or “skipping”
the top card. If you skip the top card, then that card is revealed
and we continue playing with the remaining deck. If you take the
top card, then the game ends; you win if the card you took was
revealed...

Consider the following card game with a well-shuffled deck of
cards. If you draw a black card,
you lose $10. If you get a diamonds, you win $5 and if you get a
heart, you win $10. If you get any
ace, you plus an extra $25 to what you got based on the color
and category card (for example,
if you get a spade ace, you got $25 ? $10 = $15, or a diamond
ace, you got $25...

a) Select a random card from a deck of 52 cards. If you shoot
As, you win the trip; options, look at the value of the card
(Pastor (K), Girl (Q) and Vale (J) reviews count as 10). If the
number is 7 or less in the menu of the card, you will lose
completely; What is your chance to win this game?
b) If you think that we give 5 TL to play the game and we will
make...

A card is drawn from a standard 52-card deck. If the card is a
king, you win
$2020;
otherwise, you lose
$11.
What is the expected value of the game?
Let X be the random variable for the amount won on a single play
of this game.

At a casino, there is a game where you draw a card from a
standard deck of 52 cards. If you get a black card, you win
nothing. If you get a heart, you win $5. If you get a diamond, you
win $10. There is an additional $20 bonus for the King of
diamonds.
a) Create a PDF for a variable X, which represents the amount of
money you can win by playing this game.
b) What is the...

A
card is drawn from a standard deck of 52 cards. If the card is a
queen you get five dollars. If it is any other card, u lose one
dollar.
1. Calculate the approximate expected value at this game.
Round to the nearest cent.
2. Find the payout amount that would make this a fair
game.

Consider the following card game with a well-shuffled deck of
cards. If you draw a red card, you don't win. If you get a space
you win $1. If you draw a club, you win $3, if you draw the ace of
clubs you win $30.
a. Create a probability model for the amount you win at this
game.
b. Find the expected value for winning a single
game.
c. Find the standard deviation of the winnings.
d. Now suppose...

A card is drawn from a standard 52-card deck. If the card is a
king, you win $10; otherwise, you lose $4. What is the expected
value of the game?

You pay $20 to play a game. You choose a card from a standard
deck of cards plus two jokers (total of 54 cards) at random. If you
pick a joker you get $200; if you pick an ace you get $50; if you
get a face card you get $25. Otherwise you receive nothing.
Calculate the expected value of this game.

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