What is the probability that other players have Hearts or Q of Spades on hearts game? The 2019 Stack Overflow Developer Survey Results Are In Unicorn Meta Zoo #1: Why another podcast? Announcing the arrival of Valued Associate #679: Cesar ManaraWhat are the chances of shooting the moon in Hearts?How many different flush hands can you have that consist only of hearts, diamonds or spades?What are the chances of winning with a specific card in SpadesQuestion about counting cardsProbability that a five-card poker hand contains the ace of hearts?Find the total number of combinations of suits of card from a deck of 52 cards.Combination: Card ProblemsCard guessing gameWhat is the probability of drawing a spade again if I already have $4$?Probability that one player has all the card and one player has no card of spades?
Python - Fishing Simulator
How do you keep chess fun when your opponent constantly beats you?
Was credit for the black hole image misappropriated?
Did the new image of black hole confirm the general theory of relativity?
Is every episode of "Where are my Pants?" identical?
Does Parliament hold absolute power in the UK?
ELI5: Why do they say that Israel would have been the fourth country to land a spacecraft on the Moon and why do they call it low cost?
Does Parliament need to approve the new Brexit delay to 31 October 2019?
How to determine omitted units in a publication
Can the DM override racial traits?
How to read αἱμύλιος or when to aspirate
Is it ok to offer lower paid work as a trial period before negotiating for a full-time job?
Why can't devices on different VLANs, but on the same subnet, communicate?
What was the last x86 CPU that did not have the x87 floating-point unit built in?
The following signatures were invalid: EXPKEYSIG 1397BC53640DB551
Is this wall load bearing? Blueprints and photos attached
Am I ethically obligated to go into work on an off day if the reason is sudden?
how can a perfect fourth interval be considered either consonant or dissonant?
should truth entail possible truth
US Healthcare consultation for visitors
What aspect of planet Earth must be changed to prevent the industrial revolution?
Button changing its text & action. Good or terrible?
What other Star Trek series did the main TNG cast show up in?
How did passengers keep warm on sail ships?
What is the probability that other players have Hearts or Q of Spades on hearts game?
The 2019 Stack Overflow Developer Survey Results Are In
Unicorn Meta Zoo #1: Why another podcast?
Announcing the arrival of Valued Associate #679: Cesar ManaraWhat are the chances of shooting the moon in Hearts?How many different flush hands can you have that consist only of hearts, diamonds or spades?What are the chances of winning with a specific card in SpadesQuestion about counting cardsProbability that a five-card poker hand contains the ace of hearts?Find the total number of combinations of suits of card from a deck of 52 cards.Combination: Card ProblemsCard guessing gameWhat is the probability of drawing a spade again if I already have $4$?Probability that one player has all the card and one player has no card of spades?
$begingroup$
I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.
Rules: Initially, 52 cards are distributed among all 4 players. Each
of them has 13 random cards. One has to start, other has to play the
same type card. If he hasn't that of type card, he can play any other
card. Let's assume, if one has no card, then he plays a card that has
a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.
My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S
So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.
If I want to play 7C,
P(H1|N1) = ?
P(Q1|N1) = ?
P(L2) = ?
Hi be the i-th player has HEARTS
Qi be the i-th player has Q of Spades
Ni be the i-th player has no CLUBS
Li be the i-th player has lower CLUBS
probability combinatorics probability-theory conditional-probability card-games
New contributor
$endgroup$
add a comment |
$begingroup$
I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.
Rules: Initially, 52 cards are distributed among all 4 players. Each
of them has 13 random cards. One has to start, other has to play the
same type card. If he hasn't that of type card, he can play any other
card. Let's assume, if one has no card, then he plays a card that has
a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.
My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S
So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.
If I want to play 7C,
P(H1|N1) = ?
P(Q1|N1) = ?
P(L2) = ?
Hi be the i-th player has HEARTS
Qi be the i-th player has Q of Spades
Ni be the i-th player has no CLUBS
Li be the i-th player has lower CLUBS
probability combinatorics probability-theory conditional-probability card-games
New contributor
$endgroup$
add a comment |
$begingroup$
I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.
Rules: Initially, 52 cards are distributed among all 4 players. Each
of them has 13 random cards. One has to start, other has to play the
same type card. If he hasn't that of type card, he can play any other
card. Let's assume, if one has no card, then he plays a card that has
a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.
My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S
So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.
If I want to play 7C,
P(H1|N1) = ?
P(Q1|N1) = ?
P(L2) = ?
Hi be the i-th player has HEARTS
Qi be the i-th player has Q of Spades
Ni be the i-th player has no CLUBS
Li be the i-th player has lower CLUBS
probability combinatorics probability-theory conditional-probability card-games
New contributor
$endgroup$
I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.
Rules: Initially, 52 cards are distributed among all 4 players. Each
of them has 13 random cards. One has to start, other has to play the
same type card. If he hasn't that of type card, he can play any other
card. Let's assume, if one has no card, then he plays a card that has
a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.
My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S
So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.
If I want to play 7C,
P(H1|N1) = ?
P(Q1|N1) = ?
P(L2) = ?
Hi be the i-th player has HEARTS
Qi be the i-th player has Q of Spades
Ni be the i-th player has no CLUBS
Li be the i-th player has lower CLUBS
probability combinatorics probability-theory conditional-probability card-games
probability combinatorics probability-theory conditional-probability card-games
New contributor
New contributor
edited Apr 8 at 7:50
Tareq Joy
New contributor
asked Apr 8 at 7:44
Tareq JoyTareq Joy
84
84
New contributor
New contributor
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Tareq Joy is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3179303%2fwhat-is-the-probability-that-other-players-have-hearts-or-q-of-spades-on-hearts%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Tareq Joy is a new contributor. Be nice, and check out our Code of Conduct.
Tareq Joy is a new contributor. Be nice, and check out our Code of Conduct.
Tareq Joy is a new contributor. Be nice, and check out our Code of Conduct.
Tareq Joy is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3179303%2fwhat-is-the-probability-that-other-players-have-hearts-or-q-of-spades-on-hearts%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown