{"id":265265,"date":"2025-07-21T19:56:50","date_gmt":"2025-07-21T19:56:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=265265"},"modified":"2025-07-21T19:56:51","modified_gmt":"2025-07-21T19:56:51","slug":"the-weather-is-becoming-important-to-you-since-you-would-like-to-go-on-a-picnic-today","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/the-weather-is-becoming-important-to-you-since-you-would-like-to-go-on-a-picnic-today\/","title":{"rendered":"The weather is becoming important to you since you would like to go on a picnic today"},"content":{"rendered":"\n<p>The weather is becoming important to you since you would like to go on a picnic today. If it was sunny yesterday, there is a 65% chance it will be sunny today. If it was raining yesterday, there is a 30% chance it will be sunny today. If the probability that it was raining yesterday is 0.4, what is the probability that it will be sunny today? <\/p>\n\n\n\n<p>A. 0.650 <\/p>\n\n\n\n<p>B. 0.390 <\/p>\n\n\n\n<p>C. 0.510 <\/p>\n\n\n\n<p>D. 0.490<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>D. 0.490<\/strong>.<\/p>\n\n\n\n<p>To solve this problem, we use the law of total probability. The law of total probability allows us to calculate the probability of an event occurring (in this case, it being sunny today) by considering all the possible conditions that could lead to that event. In this case, there are two possible conditions for yesterday&#8217;s weather: it could have been sunny or raining.<\/p>\n\n\n\n<p>The information provided in the problem is:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If it was sunny yesterday, there is a 65% chance it will be sunny today.<\/li>\n\n\n\n<li>If it was raining yesterday, there is a 30% chance it will be sunny today.<\/li>\n\n\n\n<li>The probability that it was raining yesterday is 0.4 (so the probability it was sunny yesterday is 0.6).<\/li>\n<\/ul>\n\n\n\n<p>Thus, the probability that it will be sunny today is <strong>0.49<\/strong>, which corresponds to answer <strong>D<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The weather is becoming important to you since you would like to go on a picnic today. If it was sunny yesterday, there is a 65% chance it will be sunny today. If it was raining yesterday, there is a 30% chance it will be sunny today. If the probability that it was raining yesterday [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-265265","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/265265","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=265265"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/265265\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=265265"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=265265"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=265265"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}