How to calculate the expected value when throwing multiple dices?
$begingroup$
I'm starting to learn probability theory and I found an exercise that states:
On a particular move we throw a 20 sided dice one time, and then we throw a 4 sided dice twice. We substract the sum of the 2 throwings of the 4 sided dice to the value we got throwing the 20 sided dice. So if we throw the first one and we get 18, then we throw to times the 4 sided and we get 1 and 2, the final result will be 15.
How can I calculate the expected value? Should I generate all possible throwing combinations and look for the ones who repeat the most?
How can I calculate which range of results will get on the 50% of the times? (I'm a little bit lost on this one)
Thanks for your attention
probability probability-theory probability-distributions
$endgroup$
add a comment |
$begingroup$
I'm starting to learn probability theory and I found an exercise that states:
On a particular move we throw a 20 sided dice one time, and then we throw a 4 sided dice twice. We substract the sum of the 2 throwings of the 4 sided dice to the value we got throwing the 20 sided dice. So if we throw the first one and we get 18, then we throw to times the 4 sided and we get 1 and 2, the final result will be 15.
How can I calculate the expected value? Should I generate all possible throwing combinations and look for the ones who repeat the most?
How can I calculate which range of results will get on the 50% of the times? (I'm a little bit lost on this one)
Thanks for your attention
probability probability-theory probability-distributions
$endgroup$
1
$begingroup$
You can use E[X-Y-Z]=E[X]-E[Y]-E[Z]
$endgroup$
– Michael
Dec 29 '18 at 13:47
add a comment |
$begingroup$
I'm starting to learn probability theory and I found an exercise that states:
On a particular move we throw a 20 sided dice one time, and then we throw a 4 sided dice twice. We substract the sum of the 2 throwings of the 4 sided dice to the value we got throwing the 20 sided dice. So if we throw the first one and we get 18, then we throw to times the 4 sided and we get 1 and 2, the final result will be 15.
How can I calculate the expected value? Should I generate all possible throwing combinations and look for the ones who repeat the most?
How can I calculate which range of results will get on the 50% of the times? (I'm a little bit lost on this one)
Thanks for your attention
probability probability-theory probability-distributions
$endgroup$
I'm starting to learn probability theory and I found an exercise that states:
On a particular move we throw a 20 sided dice one time, and then we throw a 4 sided dice twice. We substract the sum of the 2 throwings of the 4 sided dice to the value we got throwing the 20 sided dice. So if we throw the first one and we get 18, then we throw to times the 4 sided and we get 1 and 2, the final result will be 15.
How can I calculate the expected value? Should I generate all possible throwing combinations and look for the ones who repeat the most?
How can I calculate which range of results will get on the 50% of the times? (I'm a little bit lost on this one)
Thanks for your attention
probability probability-theory probability-distributions
probability probability-theory probability-distributions
asked Dec 29 '18 at 13:40
Pau MuñozPau Muñoz
154
154
1
$begingroup$
You can use E[X-Y-Z]=E[X]-E[Y]-E[Z]
$endgroup$
– Michael
Dec 29 '18 at 13:47
add a comment |
1
$begingroup$
You can use E[X-Y-Z]=E[X]-E[Y]-E[Z]
$endgroup$
– Michael
Dec 29 '18 at 13:47
1
1
$begingroup$
You can use E[X-Y-Z]=E[X]-E[Y]-E[Z]
$endgroup$
– Michael
Dec 29 '18 at 13:47
$begingroup$
You can use E[X-Y-Z]=E[X]-E[Y]-E[Z]
$endgroup$
– Michael
Dec 29 '18 at 13:47
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
});
}
});
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%2f3055850%2fhow-to-calculate-the-expected-value-when-throwing-multiple-dices%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
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%2f3055850%2fhow-to-calculate-the-expected-value-when-throwing-multiple-dices%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
$begingroup$
You can use E[X-Y-Z]=E[X]-E[Y]-E[Z]
$endgroup$
– Michael
Dec 29 '18 at 13:47