All Questions
Tagged with card-games conditional-probability
42
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In a deck of 52 cards, you draw two cards without replacement. Are the events conditionally independent given that the first card drawn is a heart?
In a deck of 52 cards, you draw two cards consecutively without replacement. Are the events "drawing a heart on the first draw" and "drawing a black card on the second draw" ...
- 129
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Number of cards between first jack and queen
You pull cards out of a shuffled deck until you get a jack and a queen. Given see the jack first, what is the expected number of cards between the jack and the queen?
I believe this is a conditional ...
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Conditional probability after drawing the first card of any color
My card deck has $2n$ cards, $n$ black and $n$ red. I keep drawing cards (without replacing) until I reach the first black card. What is the probability that the next card is again black?
Surprisingly ...
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Probability of getting 2 cards with the same color
You have two decks of cards: a 52 card deck (26 black, 26 red) and a 26 card deck (13 black, 13 red).
You randomly draw two cards and win if both are the same color. Which deck would you prefer?
What ...
6
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3
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Probability that the next card is the ace of spades
Say I have a standard $52$ count deck of cards in random order, and that I start flipping cards from the deck over until a king appears, which is card #$19$. What's the probability the next card is ...
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probability of getting 3 hearts given another deck got 4 hearts.
from a standard pack of 52 cards, you and your friend are getting 7 cards each, given the fact that you have 4 hearts, whats the probability that your friend has 3 hearts.
at first i marked the event $...
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Four players, each received 13 cards, player A saw that their neighbour has ace of spades. What is the probability that player A doesn't have ace.
Four players, each received $13$ cards, player A saw that their neighbour has ace of spades. What is the probability that player A doesn't have ace.
My textbook says it is $$\dfrac{{39 \choose 13}}{{...
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Given that a royal flush occurs, what is the probability that it comes after a straight flush in a Poker Game??
I've revised the question after further exploration. Here is the information the is needed
The probability of a Straight Flush occurring is 0.00001540898529
The probability of a Royal Flush occurring ...
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3
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What are the odds of getting 3 pair in texas holdem?
I'm looking to create a variant of holdem allowing 6 and 7 card hands in special situations. Namely, 3 pair, 2 set, and quads over set (a full mansion).
My probability skills are rusty, but I'm still ...
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Probability of completing a specific set of cards
A deck of cards from a kids game contains 108 cards in total.
There are 12 different categories of card in total, and each category has a certain number of cards within the deck.
Category A: 14 cards.
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Draw two numbers, A and B, from a set {1, 2, 3, 4, 5, 6}. A and B are drawn sequentially without replacement. Find the variance Var(3A+B).
You draw two numbers, $A$ and $B$ from a set of integers $\{1,2,3,4,5,6\}$. The numbers are drawn sequentially from the set, without replacement. Find the variance $Var(3A+B)$.
I have tried working on ...
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Probability of drawing ace of spade given that 2 aces are drawn from two hands
So my initial thoughts are:
\begin{align}
\binom{4}{2} = 6
\end{align}
There are 6 pairs with 2 aces.
And by inspection( since the numbers are small): I know there's 3 pairs:
(spade, club), (...
1
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A card is chosen at random from deck one and put into deck two, then a card is chosen at random from deck two and put into deck one.
Deck one contains k white and j red cards. Deck two contains r white and p red cards. A card is chosen at random from deck one and put into deck two, then a card is chosen at random from deck two and ...
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Probability of drawing the nearest room card in Cluedo
In the game Cluedo you start from a specific position on the map which you chose before looking at the cards you have. What is the probability that you have the card of the a)nearest room and b)both ...
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Discard 2 cards from a deck and distribute the remaining 50 cards to 5 people. What is the probability that one player gets 4 Aces?
I calculate a case that no Ace card was removed, so we have $5 \times \frac{10C4}{50C4} \approx 0.004559$. For every other cases, there is no way to get 4 Aces, so the probability is 0.
The correct ...
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