[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523012-105":3,"doc-detail-523012-en":81,"detail-sidebar-cat-0-en-105":97},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","mutually-exclusive-events-determine-if-the-scenario-involves-mutually-exclusive-events","Mutually Exclusive Events - Determine if the scenario involves mutually exclusive events","","Worksheet on mutually exclusive events using probability scenarios. Students determine whether given outcomes are mutually exclusive and compute related probabilities, including P(A or B) and P(A and B), as well as conditional probability cases. The problems cover random selections from spinners, bags of jerseys, magazines with page numbers, boxes of chocolates with peanut contents, baskets of fruit, and die rolls with number conditions. A concluding section includes finding missing probabilities when events A and B are mutually exclusive.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/mutually-exclusive-events-determine-if-the-scenario-involves-mutually-exclusive-events/523012/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/mutually-exclusive-events-determine-if-the-scenario-involves-mutually-exclusive-events/523012.png","ImageObject",300,407,{"name":42,"@type":43},"Đào","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-11","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you decide whether two events are mutually exclusive?","Question",{"text":63,"@type":64},"Two events are mutually exclusive if they cannot both occur at the same time. The worksheet asks students to classify each scenario as mutually exclusive or not mutually exclusive based on overlap of outcomes.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What probability expressions are used when events A and B are given?",{"text":68,"@type":64},"The worksheet uses probability quantities such as P(A or B) and P(A and B). It also includes conditional probability written as P(A | B) in some items.",{"name":70,"@type":61,"acceptedAnswer":71},"What does it mean to “find the missing probability” in this worksheet?",{"text":72,"@type":64},"For certain problems, some probabilities are provided and the remaining probability value is unknown (shown as “?”). Students compute the missing probability using the given information and the mutually exclusive relationship when applicable.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523012,1791787191,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":91,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":92,"faqs":93,"seo_title":94,"seo_description":12,"update_tm":95,"read_time":96,"preview_page_count":4},1374402968488,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Geometry Name   \nMutually Exclusive Events Date  Period   \nDetermine if the scenario involves mutually exclusive events.  \n1) A spinner has an equal chance of landing 2) A bag contains six yellow jerseys  \non each of its eight numbered regions. numbered one to six. The bag also  \nAfter spinning, it lands in region three or contains four purple jerseys numbered one  \n[six. to](six. to) four. You randomly pick a jersey. It is  \npurple or has a number greater than five.  \n3) A magazine contains twelve pages. You 4) A box of chocolates contains six milk  \nopen to a random page. The page number chocolates and four dark chocolates. Two  \nis eight or ten. of the milk chocolates and three of the  \ndark chocolates have peanuts inside. You randomly select and eat a chocolate. It is a milk chocolate or has no peanuts inside.  \nFind the probability.  \n5) A magazine contains fourteen pages. You 6) A basket contains three apples, three  \nopen to a random page. The page number peaches, and four pears. You randomly  \nis three or seven. select a piece of fruit. It is an apple or a  \npeach.  \n7) You roll a fair six-sided die. The die 8) A box contains three red playing cards  \nshows an even number or a number numbered one to three. The box also  \ngreater than three. contains five black playing cards  \nnumbered one to five. You randomly pick a playing card. It is black or has an odd number.  \nDetermine if events A and B are mutually exclusive.  \n9) P(A) = ~~ ~~􀀖􀀔􀀓 P(B) = 􀀔􀀕 P(A or B) = 􀀗􀀘~~ ~~ 10) P(A) = 􀀚􀀕􀀓 P(B) = 􀀔􀀕􀀔􀀓 P(A or B) = 􀀕􀀗􀀛􀀓􀀖􀀓  \n11) P(A) = ~~ ~~􀀚􀀕􀀓 P(B) = ~~ ~~􀀖􀀔􀀓 P(A and B) = 􀀕􀀔􀀗􀀓􀀓~~ ~~ 12) P(A) = 􀀓􀀑􀀕 P(B) = 􀀓􀀑􀀖􀀘 P(A and B) = 􀀓  \n13) P(A) = ~~ ~~􀀖􀀘 P(B) = 􀀔􀀕 P(A |B) = ~~ ~~􀀖􀀘􀀖􀀓~~ ~~ 14) P(A) = 􀀚􀀕􀀓 P(B) = 􀀔􀀕􀀔􀀓 P(A |B) = 􀀓  \nEvents A and B are mutually exclusive. Find the missing probability.  \n15) P(A) = 􀀔􀀗 P(B) = 􀀔􀀕􀀖􀀓 P(A or B) = ? 16) P(A) = 􀀕􀀘 P(B) = 􀀔􀀗 P(A and B) = ?  \nFind the missing probability.  \n17) P(A) = 􀀚􀀕􀀓 P(B) = 􀀚􀀕􀀓 P(A or B) = 􀀗􀀛􀀜􀀓 P(A and B) = ?  \n18) P(A) = 􀀔􀀕􀀔􀀓 P(A or B) = 􀀕􀀗􀀛􀀓􀀖􀀓 P(A and B) = 􀀚􀀚􀀗􀀓􀀓 P(not B) = ?  \nKuta Software-Infinite Geometry Name   \nMutually Exclusive Events Date  Period   \nDetermine if the scenario involves mutually exclusive events.  \n1) A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, it lands in region three or six.  \nMutually exclusive  \n3) A magazine contains twelve pages. You open to a random page. The page number is eight or ten.  \nMutually exclusive  \n2) A bag contains six yellow jerseys numbered one to six. The bag also contains four purple jerseys numbered one to four. You randomly pick a jersey. It is purple or has a number greater than five.  \nNot mutually exclusive  \n4) A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocoate. It is a milk chocolate or has no peanuts inside.  \nNot mutually exclusive  \nFind the probability.  \n5) A magazine contains fourteen pages. You open to a random page. The page number is three or seven.  \n 􀀔   \n􀁼 􀀓􀀑􀀔􀀗􀀖􀀚  \n7) You roll a fair six-sided die. The die shows an even number or a number greater than three.  \n 􀀕   \n􀀖  \n􀁼 􀀓􀀑􀀙􀀙􀀚  \n6) A basket contains three apples, three peaches, and four pears. You randomly select a piece of fruit. It is an apple or a peach.  \n 􀀖   \n􀀘  \n􀀠 􀀓􀀑􀀙  \n8) A box contains three red playing cards numbered one to three. The box also contains five black playing cards numbered one to five. You randomly pick a playing card. It is black or has an odd number.  \n 􀀚   \n􀀛  \n􀀠 􀀓􀀑􀀛􀀚􀀘  \nDetermine if events A and B are mutually exclusive.  \n9) P(A) = ~~ ~~􀀖􀀔􀀓 P(B) = 􀀔􀀕 P(A or B) = 􀀗􀀘 Mutually exclusive  \n11) P(A) = ~~ ~~􀀚􀀕􀀓 P(B) = ~~ ~~􀀖􀀔􀀓 P(A and B) = 􀀕􀀔􀀗􀀓􀀓  \nNot mutually exclusive  \n13) P(A) = ~~ ~~􀀖􀀘 P(B) = 􀀔􀀕 P(A |B) = ~~ ~~􀀖􀀘􀀖􀀓 Not mutually exclusive  \n10) P(A) = 􀀚􀀕􀀓 P(B) = 􀀔􀀕􀀔􀀓 P(A or B) = 􀀕􀀗􀀛􀀓􀀖􀀓 Not mutually exclusive  \n12) P(A) = 􀀓􀀑􀀕","cbCaimw5DasRkzC0","https://ap.wps.com/l/cbCaimw5DasRkzC0","pdf",77386,"English","# Determine Mutually Exclusive Events\n## Compute and Classify Probabilities\n## Find Missing Probabilities","[{\"question\":\"How do you decide whether two events are mutually exclusive?\",\"answer\":\"Two events are mutually exclusive if they cannot both occur at the same time. The worksheet asks students to classify each scenario as mutually exclusive or not mutually exclusive based on overlap of outcomes.\"},{\"question\":\"What probability expressions are used when events A and B are given?\",\"answer\":\"The worksheet uses probability quantities such as P(A or B) and P(A and B). It also includes conditional probability written as P(A | B) in some items.\"},{\"question\":\"What does it mean to “find the missing probability” in this worksheet?\",\"answer\":\"For certain problems, some probabilities are provided and the remaining probability value is unknown (shown as “?”). Students compute the missing probability using the given information and the mutually exclusive relationship when applicable.\"}]","Mutually Exclusive Events - Determine if the scenario involves mutually exclusive events | PDF",1791426404,10,{"code":4,"msg":82,"data":98},[99,103,107,110,115,119,124,129,134,137,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":108,"slug":109},70,"exam",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Technology",50,"technology",{"id":120,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},7,"Healthcare",40,"healthcare",{"id":125,"doc_module":4,"doc_module_name":25,"category_name":126,"show_sort_weight":127,"slug":128},8,"Research & Report",30,"research-report",{"id":130,"doc_module":4,"doc_module_name":25,"category_name":131,"show_sort_weight":132,"slug":133},9,"Religion & Spirituality",20,"religion-spirituality",{"id":132,"doc_module":4,"doc_module_name":25,"category_name":135,"show_sort_weight":132,"slug":136},"World Cup","world-cup",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":96,"slug":139},"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":111,"slug":143},19,"General","general"]