rolling a dice multiple times: when the distribution is binomial and when it is not
I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?
Thanks
probability binomial-distribution
add a comment |
I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?
Thanks
probability binomial-distribution
1
Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19
Thanks for help!
– John
Dec 26 '18 at 17:29
add a comment |
I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?
Thanks
probability binomial-distribution
I suppose we roll a 6-sided dice three times. A probability to to obtain two times number 3 can be framed as binomial because I can define as "p" a probability to obtain 3 and "1-p" the remaining outcomes. But if the question is the probability to obtain twice 3 and once 1, the problem cannot be solved using binomial, because there are more than two potential outcomes (3, 1 and anything else). Am I right?
Thanks
probability binomial-distribution
probability binomial-distribution
asked Dec 26 '18 at 17:10
John
1156
1156
1
Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19
Thanks for help!
– John
Dec 26 '18 at 17:29
add a comment |
1
Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19
Thanks for help!
– John
Dec 26 '18 at 17:29
1
1
Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19
Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19
Thanks for help!
– John
Dec 26 '18 at 17:29
Thanks for help!
– John
Dec 26 '18 at 17:29
add a comment |
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
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
});
}
});
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%2f3053114%2frolling-a-dice-multiple-times-when-the-distribution-is-binomial-and-when-it-is%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
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.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- 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.
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%2f3053114%2frolling-a-dice-multiple-times-when-the-distribution-is-binomial-and-when-it-is%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
1
Yes, you're correct. The last question could be answered using the multinomial distribution, by the way.
– littleO
Dec 26 '18 at 17:19
Thanks for help!
– John
Dec 26 '18 at 17:29