Question

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?

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?

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?

Probabilities with a deck of cards. There are 52 cards in a
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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...

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?

A hand of 5 cards is dealt to each of three players from a
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(a) What is the probability that every player receives exactly
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(b) What is the probability that at least one player receives
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As shown above, a classic deck of cards is made up of 52 cards,
26 are black, 26 are red. Each color is split into two suits of 13
cards each (clubs and spades are black and hearts and diamonds are
red). Each suit is split into 13 individual cards (Ace, 2-10, Jack,
Queen, and King).
If you select a card at random, what is the probability of getting:
(Round to 4 decimal places where possible)
a) A 9 of...

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
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The game of Fizzbin is played with a deck of 30 cards. There are
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a) If a card is drawn at random, what is the probability that
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b) If a card is drawn at random, what is the probability that
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In a particular card game, each player begins with a hand of 2
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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...

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