In: Advanced Math

2. You’re playing a game of Magic: The Gathering with a deck that consists of 60 cards, 24 of which are land cards. You draw an opening hand of seven cards which contains exactly one land and six non-lands. (For this problem, you are welcome to read and use the tools of this article1, but your answers must include clear explanations of the mathematical reasoning you’re using!)

(a) What is the probability of this event (that your hand of seven cards contains exactly one land)? Explain your answer clearly.

(b) On your ﬁrst turn you draw a card from the top of your remaining deck (since you have seven cards in hand, 53 remain in the pile you’re drawing from). What is the probability that you draw a land on your ﬁrst turn? Explain your answer clearly.

(c) What is the probability that you will draw on land on either your ﬁrst draw or your second draw (or both)? Explain your answer clearly.

Hi! I hope all is well. Please use a method that is the most straightforward, and easiest to understand.

Many thanks!

Hope my answer helps you out. In case you have any doubt then please comment. I will reply asap. :)

Magic the Gathering is a popular card game. Cards can be land
cards, or other cards. We consider a game with two
players. Each player has a deck of 40 cards. Each player
shuffles their deck, then deals seven cards, called their hand.
(a) Assume that player one has 10 land cards in their deck and
player two has 20. With what probability will each player
have four lands in their hand?
(b) Assume that player one has 10 land...

6. You are playing a card game with a friend. You are using a
new deck of 52 playing
cards and you’d like to calculate some probabilities to
improve your game.
(Remember, the total number of cards decreases by 1 every time
you draw a
card!)
a. What is the probability of drawing three queen cards in a
row?
b. What is the probability of drawing all four aces in a
row?
c. What is the probability of drawing the...

6. You are playing a card game with a friend. You are using a
new deck of 52 playing
cards and you’d like to calculate some probabilities to
improve your game.
(Remember, the total number of cards decreases by 1 every time
you draw a
card!)
a. What is the probability of drawing three queen cards in a
row?
b. What is the probability of drawing all four aces in a
row?
c. What is the probability of drawing the...

A standard deck of playing cards consists of the four suits
(diamond, club, heart, spade) and each suit contains 13 cards (Ace,
2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King). Suppose ve cards
are taken from an ordinary deck of 52 cards. Calculate the
following: a) total number of 5-card-combinations b) number of
5-card-combinations where all 5 cards are hearts c) probability
that all 5 cards are of the same suite

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

A poker hand consists of 5 cards dealt from an ordinary deck of
52 playing cards. How many different hands are there consisting of
four cards of one suit and one card of another suit?

draw six cards at random from a deck of 52 playing cards 60
times with replacement. Let X be the number of queen cards.
Find the probability distribution of X and Var (x)

A standard 52-card deck of French playing cards consists of four
suits: hearts, spades, clubs, and diamonds. There are 13 cards of
each suit; each suit has cards of rank 2 through 10, along with an
ace, king, queen, and jack. Typically, hearts and diamonds are the
red suits, while spades and clubs are the black suits.
Four cards are drawn from the deck, one at a time, without
replacement.
a) The second card drawn is from a red suit....

Question 1:
Part a) A game consists of drawing 1 card from a standard deck
of 52 cards. If you draw an Ace you win $50. If you draw a Jack,
Queen, or King you win $20. If you draw a 10, 9 or 8 you win $15.
If you draw anything lower than an 8, you don’t win anything. If it
costs $10 to play, what is your expected value?
Part b) It costs $180/yr to buy insurance for...

Buh-RING IT! For this assignment, you’re going to simulate a
text-based Role-Playing Game (RPG). Design (pseudocode) and
implement (source) for a program that reads in 1) the hero’s Hit
Points (HP – or health), 2) the maximum damage the hero does per
attack, 3) the monster’s HP and 4) the maximum monster’s damage per
attack. When the player attacks, it will pick a random
number between 0 and up to the maximum damage the player does, and
then subtract that...

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