https://cio-wiki.org//index.php?title=Probability_Theory&feed=atom&action=historyProbability Theory - Revision history2024-03-28T09:41:53ZRevision history for this page on the wikiMediaWiki 1.35.1https://cio-wiki.org//index.php?title=Probability_Theory&diff=13244&oldid=prevUser at 14:43, 3 January 20232023-01-03T14:43:33Z<p></p>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Probability theory is the <del class="diffchange diffchange-inline">mathematical </del>study of <del class="diffchange diffchange-inline">phenomena characterized by randomness or uncertainty</del>. <del class="diffchange diffchange-inline">More precisely, probability </del>is used <del class="diffchange diffchange-inline">for modeling situations when </del>the <del class="diffchange diffchange-inline">result </del>of <del class="diffchange diffchange-inline">an experiment, realized under the same circumstances, produces different results. concerned with determining the likelihood </del>that <del class="diffchange diffchange-inline">a given event will occur. Mathematicians and actuaries think </del>of <del class="diffchange diffchange-inline">probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random.<ref>Definition: What is Probability Theory? [https://www.sciencedaily.com/terms/probability_theory</del>.<del class="diffchange diffchange-inline">htm Science Daily]</ref></del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">== What is Probability Theory? ==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''</ins>Probability theory<ins class="diffchange diffchange-inline">''' </ins>is <ins class="diffchange diffchange-inline">a branch of mathematics that deals with </ins>the study of <ins class="diffchange diffchange-inline">random events and the likelihood of their occurrence</ins>. <ins class="diffchange diffchange-inline">It </ins>is used <ins class="diffchange diffchange-inline">to describe and analyze </ins>the <ins class="diffchange diffchange-inline">outcomes </ins>of <ins class="diffchange diffchange-inline">experiments or observations </ins>that <ins class="diffchange diffchange-inline">involve some element </ins>of <ins class="diffchange diffchange-inline">uncertainty</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">In probability theory, an event is a possible outcome of an experiment or observation. The probability of an event is a measure of the likelihood of that event occurring and is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>==See Also==</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Probability theory is based on the idea of a sample space, which is the set of all possible outcomes of an experiment. The probability of an event occurring is then determined by the number of ways in which the event can occur, divided by the total number of possible outcomes in the sample space.</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">*</del>[[Problem Solving]]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Probability theory is used in many fields, including science, engineering, economics, and psychology, to analyze and predict the outcomes of experiments or observations that involve some element of uncertainty. It is also an important tool in statistical analysis, where it is used to make inferences about a population based on a sample of data.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== See Also ==</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Problem Solving]]</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== References ==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== References ==</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><references/></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><references/></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">__NOTOC__</ins></div></td></tr>
</table>Userhttps://cio-wiki.org//index.php?title=Probability_Theory&diff=12232&oldid=prevUser at 00:49, 15 December 20222022-12-15T00:49:30Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 00:49, 15 December 2022</td>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Probability theory is the mathematical study of phenomena characterized by <del class="diffchange diffchange-inline">[[</del>randomness<del class="diffchange diffchange-inline">]] </del>or uncertainty. More precisely, probability is used for <del class="diffchange diffchange-inline">modelling </del>situations when the result of an experiment, realized under the same circumstances, produces different results. concerned with determining the likelihood that a given event will occur. Mathematicians and actuaries think of probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random.<ref>Definition: What is Probability Theory? [https://www.sciencedaily.com/terms/probability_theory.htm Science Daily]</ref></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for <ins class="diffchange diffchange-inline">modeling </ins>situations when the result of an experiment, realized under the same circumstances, produces different results. concerned with determining the likelihood that a given event will occur. Mathematicians and actuaries think of probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random.<ref>Definition: What is Probability Theory? [https://www.sciencedaily.com/terms/probability_theory.htm Science Daily]</ref></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">==See Also==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*[[Problem Solving]]</ins></div></td></tr>
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</table>Userhttps://cio-wiki.org//index.php?title=Probability_Theory&diff=7594&oldid=prevUser: The LinkTitles extension automatically added links to existing pages (https://github.com/bovender/LinkTitles).2021-02-06T17:43:35Z<p>The LinkTitles extension automatically added links to existing pages (https://github.com/bovender/LinkTitles).</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:43, 6 February 2021</td>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for modelling situations when the result of an experiment, realized under the same circumstances, produces different results. concerned with determining the likelihood that a given event will occur. Mathematicians and actuaries think of probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random.<ref>Definition: What is Probability Theory? [https://www.sciencedaily.com/terms/probability_theory.htm Science Daily]</ref></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Probability theory is the mathematical study of phenomena characterized by <ins class="diffchange diffchange-inline">[[</ins>randomness<ins class="diffchange diffchange-inline">]] </ins>or uncertainty. More precisely, probability is used for modelling situations when the result of an experiment, realized under the same circumstances, produces different results. concerned with determining the likelihood that a given event will occur. Mathematicians and actuaries think of probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random.<ref>Definition: What is Probability Theory? [https://www.sciencedaily.com/terms/probability_theory.htm Science Daily]</ref></div></td></tr>
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</table>Userhttps://cio-wiki.org//index.php?title=Probability_Theory&diff=4119&oldid=prevUser: Created page with "Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for modelling situations when the res..."2019-02-11T17:34:02Z<p>Created page with "Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for modelling situations when the res..."</p>
<p><b>New page</b></p><div>Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for modelling situations when the result of an experiment, realized under the same circumstances, produces different results. concerned with determining the likelihood that a given event will occur. Mathematicians and actuaries think of probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random.<ref>Definition: What is Probability Theory? [https://www.sciencedaily.com/terms/probability_theory.htm Science Daily]</ref><br />
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== References ==<br />
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