Poker Statistics & Probability
up vote
-1
down vote
favorite
Probability of being dealt pairs
$4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.
Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:
Probability of other player holding two tens:
$2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.
River is Jack:
$frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack
Dealt QD, probability of Royal Flush:
$frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.
$frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.
I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.
probability statistics poker
add a comment |
up vote
-1
down vote
favorite
Probability of being dealt pairs
$4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.
Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:
Probability of other player holding two tens:
$2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.
River is Jack:
$frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack
Dealt QD, probability of Royal Flush:
$frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.
$frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.
I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.
probability statistics poker
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
Probability of being dealt pairs
$4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.
Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:
Probability of other player holding two tens:
$2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.
River is Jack:
$frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack
Dealt QD, probability of Royal Flush:
$frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.
$frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.
I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.
probability statistics poker
Probability of being dealt pairs
$4P2 * 13over 52P2$ = 5.88%, 4 different ways to choose from and arrange 4 cards from a suit times thirteen suits.
Given Board State {10D, 10C, JD, ?, ?} and 2 dead hands and one active hand, and your hand {JC, JS}:
Probability of other player holding two tens:
$2 over 43*42 $ = 0.11%, all the dead cards mean that 43 are remaining and there are 43P2 ways of choosing hands for that and only 2 in which the opposite player would have 2 10s.
River is Jack:
$frac{1}{41} + frac{1}{40}$ = 4.9%, either the first one is a Jack or the second one is a Jack
Dealt QD, probability of Royal Flush:
$frac{3P2*39}{41P3}$ = 14.6%, 3P2 ways to arrange the 2 cards you need and the other card you don't need over the possible ways you could be dealt the cards.
$frac{3P2}{39P2}$ = 0.6%, 3P2 ways to choose the jacks that you can have from 39P2 choices.
I apologize profusely because I am not very good at statistics and this has been troubling me greatly. I want to know the flaws in how I am thinking.
probability statistics poker
probability statistics poker
asked 2 days ago
Ryan Schaefer
991
991
add a comment |
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
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%2f3005397%2fpoker-statistics-probability%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