Question

3.27 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.

(c) Assume that player one has 10 land cards in their deck and player two has 20. With what probability will player two have more lands in hand than player one?

Answer #1

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.
Assume that player one has 10 land cards in their deck and player
two has 20. With what probability will player two have more lands
in hand than player one?

Consider a game with two players. Each player has a deck of 40
cards made up of two colors: red and black. Each player shuffles
their deck, then deals seven cards, called their hand.
(c) Assume that player one has 10 red cards in their deck and
player two has 20 red cards in their deck. With what probability
will player two have more red cards in their *hand* than player
one?

In a certain card? game, players begin each round with 3 cards
in? hand, and then draw 7 more over the course of the round. If a
player starts a round with 2? hearts, what is the probability that
the player will have 7 or more hearts by the end of the? round?

A certain betting game involves dealing players two cards each
from a standard deck and observing how many kings each player has.
In a two-card draw, the probability of two kings is 0.0045, the
probability of one is 0.1448, and the probability of none is
0.8507.
Let X be the number of kings in a two card draw. To four decimal
places, the mean of X is?

In a particular card game, each player begins with a hand of 2
cards, and then draws 6 more. Calculate the probability that the
hand will contain three of a kind
(3 cards of one value, with the other cards of 5 different
values).

Probabilities with a deck of cards. There are 52 cards in a
standard deck of cards. There are 4 suits (Clubs, Hearts, Diamonds,
and Spades) and there are 13 cards in each suit. Clubs/Spades are
black, Hearts/Diamonds are red. There are 12 face cards. Face cards
are those with a Jack (J), King (K), or Queen (Q) on them. For this
question, we will consider the Ace (A) card to be a number card
(i.e., number 1). Then for each...

Let us play a boy-or-girl-card game. The game contains two
cards. One card has one side to be a boy and the other side to be a
girl, and the other card has both sides to be the same girl in the
first card. Two players play the game. First, one player chooses
the girl’s side and the other chooses the boy’s side. On each
round, both cards are put into a dark box. Then a third-party
person draws a...

python:
write a two card poker game, the user and the computer will
get two cards, cards are an integer value between 2-14 and are
printed out as 2,3,4,5,6,7,8,9,10,J,Q,K,A.
the winner is when: if both players have a pair then the pair
with the highest numerical value wins, if only one player has a
pair, then the pair wins, if neither the players has a pair, then
the player with the highest card wins, if both players highest card
is...

The card game Uno consists of a deck of 108 cards. There are 25
cards of each color (blue, red, yellow, and green), plus 8 wild
cards. Each color contains one 0, two each of the digits 1 through
9, and two each of "skip," "reverse", and "draw two."
a) If you draw two cards without replacement,
what is the probability of drawing a 3 or a yellow card? You may
answer in fraction or decimal form.
b) If you...

In a card game, suppose a player needs to draw two cards without
replacement of the same suit in order to win. Of the 52 cards,
there are 13 cards in each suit. Suppose first the player draws a
heart. Find the probability that the second card is not a
heart.

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