{"id":2807,"date":"2020-01-06T01:30:52","date_gmt":"2020-01-06T00:30:52","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2807"},"modified":"2024-03-28T05:53:53","modified_gmt":"2024-03-28T04:53:53","slug":"how-to-calculate-and-solve-for-pa-or-b-probability","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/01\/06\/how-to-calculate-and-solve-for-pa-or-b-probability\/","title":{"rendered":"How to Calculate and Solve for P(A or B) | Probability"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2838\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/PA-or-B.png\" alt=\"\" width=\"244\" height=\"207\" \/><\/p>\n<p>The image above represents P(A or B). To calculate P(A or B), four essential parameters are needed and these parameters are <strong>x<sub>A<\/sub>, N<sub>A<\/sub>, x<sub>B<\/sub><\/strong> and <strong>N<sub>B<\/sub><\/strong>.<\/p>\n<p>The formula for calculating P(A or B):<\/p>\n<p><b>P(A or B) = P(A) + P(B)<\/b><\/p>\n<p>Where;<\/p>\n<p><b>P(A)<\/b> = \u00a0<sup>x<sub>A<\/sub><\/sup> \u2044 <sub>N<sub>A<\/sub><\/sub><br \/>\n<b>P(B)<\/b> = <sup>x<sub>B<\/sub><\/sup> \u2044 <sub>N<sub>B<\/sub><\/sub><\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the P(A or B) when x<sub>A<\/sub> is 9, N<sub>A<\/sub> is 11, x<sub>B<\/sub> is 6 and N<sub>B<\/sub> is 12.<\/p>\n<p>This implies that;<\/p>\n<p>x<sub>A<\/sub> = 9<br \/>\nN<sub>A<\/sub> = 11<br \/>\nx<sub>B<\/sub> = 6<br \/>\nN<sub>B<\/sub> = 12<\/p>\n<p><b>P(A or B) = P(A) + P(B)<\/b><br \/>\nP(A or B) =\u00a0<sup>x<sub>A<\/sub><\/sup> \u2044 <sub>N<sub>A<\/sub><\/sub>\u00a0+\u00a0<sup>x<sub>B<\/sub><\/sup> \u2044 <sub>N<sub>B<\/sub><\/sub><br \/>\nSo, P(A or B) = <sup>9<\/sup> \u2044 <sub>11<\/sub>\u00a0+\u00a0<sup>6<\/sup> \u2044 <sub>12<\/sub><br \/>\nP(A or B) =\u00a0<sup>9(12) + 6(11)<\/sup> \u2044 <sub>(11)(12)<\/sub><br \/>\nP(A or B) =\u00a0<sup>108 + 66<\/sup> \u2044 <sub>132<\/sub><br \/>\nThen, P(A or B) = <sup>174<\/sup> \u2044 <sub>132<\/sub><br \/>\nDividing the numerator and denominator by <b>6<\/b><br \/>\nP(A or B) =\u00a0<sup>29<\/sup> \u2044 <sub>22<\/sub><br \/>\nP(A or B) = 1.318<\/p>\n<p>Therefore, the\u00a0<strong>P(A or B)\u00a0<\/strong>is\u00a0<strong>1.318.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2020\/01\/06\/how-to-calculate-and-solve-for-pa-and-b-probability\/\">How to Calculate and Solve for P(A and B) | Probability<\/a><\/p>\n<h3><strong>How to Calculate and Solve for P(A or B) Probability Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the P(A or B).<\/p>\n<p>To get the answer and workings of the P(A or B) using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>for<strong>\u00a0NGN 1,500\u00a0<\/strong>per<strong>\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<strong>Probability<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Mathematics<\/strong><strong>.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2783 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-947.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-947.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-947-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-947-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-947-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>P(A or B) <\/strong>under\u00a0<strong>Probability<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2846 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-966.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-966.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-966-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-966-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-966-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the P(A or B) according to the respective parameters which are the <strong>x<sub>A<\/sub>, N<sub>A<\/sub>, x<sub>B<\/sub><\/strong> and <strong>N<sub>B<\/sub><\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2845 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-967.png\" alt=\"How to Calculate and Solve for P(A or B) | Probability\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-967.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-967-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-967-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-967-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>x<sub>A<\/sub><\/strong> is<strong> 9, N<sub>A<\/sub><\/strong> is<strong> 11, x<sub>B<\/sub><\/strong> is <strong>6<\/strong> and <strong>N<sub>B<\/sub><\/strong> is <strong>12.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2844 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-968.png\" alt=\"How to Calculate and Solve for P(A or B) | Probability\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-968.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-968-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-968-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-968-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2843 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-969.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-969.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-969-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-969-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-969-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-2842 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-970.png\" alt=\"How to Calculate and Solve for P(A or B) | Probability\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-970.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-970-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-970-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/01\/Screenshot-970-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the P(A or B) and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents P(A or B). To calculate P(A or B), four essential parameters are needed and&hellip;","protected":false},"author":5,"featured_media":13440,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate P(A or B) Probability","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Here is a step by step guide with workings and formula on How to Calculate and Solve for P(A or B) | 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