{"id":4580,"date":"2012-09-10T13:34:28","date_gmt":"2012-09-10T18:34:28","guid":{"rendered":"http:\/\/www.manhattanprep.com\/gre\/blog\/?p=4580"},"modified":"2019-08-30T16:46:19","modified_gmt":"2019-08-30T16:46:19","slug":"the-math-beast-challenge-problem-of-the-week-september-10-2012","status":"publish","type":"post","link":"https:\/\/www.manhattanprep.com\/gre\/blog\/the-math-beast-challenge-problem-of-the-week-september-10-2012\/","title":{"rendered":"The Math Beast Challenge Problem of the Week &#8211; September 10, 2012"},"content":{"rendered":"<div class=\"clearfix\"><img decoding=\"async\" class=\"alignleft\" src=\"\/\/cdn.manhattanprep.com\/images\/gre\/gre_math_beast(1).png\" alt=\"Math Beast\" \/>Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week&#8217;s drawing for two free Manhattan Prep GRE Strategy Guides.<\/div>\n<blockquote><p>Of three possible events, events A and B are independent, and events B and C are mutually exclusive.  The probabilities that the individual events A, B, and C will occur are 0.5, 0.3, and 0.2, respectively.  What is the probability that both event A and event C will occur?<\/p><\/blockquote>\n<p><!--more--><\/p>\n<p>See the answer choices and submit your pick over on our <a href=\"\/\/www.manhattanprep.com\/gre\/challenge_thisweek.cfm\" target=\"_blank\">Challenge Problem<\/a> page.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Each week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week&#8217;s drawing for two free Manhattan Prep GRE Strategy Guides. Of three possible events, events A and B are independent, and events B and C are mutually exclusive. The probabilities that [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[68],"yst_prominent_words":[],"class_list":["post-4580","post","type-post","status-publish","format-standard","hentry","category-challenge-problems","tag-challenge-problem"],"_links":{"self":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/4580","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/comments?post=4580"}],"version-history":[{"count":1,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/4580\/revisions"}],"predecessor-version":[{"id":7037,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/4580\/revisions\/7037"}],"wp:attachment":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/media?parent=4580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/categories?post=4580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/tags?post=4580"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/yst_prominent_words?post=4580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}