[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522718-105":59,"doc-detail-522718-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","mutually-exclusive-events-determine-if-events-are-mutually-exclusive-find-probabilities","Mutually Exclusive Events - Determine If Events Are Mutually Exclusive - Find Probabilities","","Worksheet for Infinite Algebra 2 covering mutually exclusive events and probability calculations. It provides multiple scenarios involving spinners, jersey selections, magazines with random page numbers, baskets of fruit, card draws, and chocolate selection, each asking whether events are mutually exclusive. The problems also require computing or identifying missing probabilities using event notation such as P(A), P(B), P(A or B), P(A and B), conditional probability P(A|B), and complementary probability P(not B).",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/mutually-exclusive-events-determine-if-events-are-mutually-exclusive-find-probabilities/522718/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/mutually-exclusive-events-determine-if-events-are-mutually-exclusive-find-probabilities/522718.png","ImageObject",300,407,{"name":92,"@type":93},"Jacob","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-11","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does “mutually exclusive” mean for events A and B in these problems?","Question",{"text":113,"@type":114},"Events A and B are mutually exclusive when they cannot happen at the same time. If selecting a result satisfying A also automatically prevents B, the events are mutually exclusive.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you compute P(A or B) and P(A and B) for these worksheets?",{"text":118,"@type":114},"Use probability relationships based on whether A and B overlap. For mutually exclusive events, P(A or B) equals P(A) + P(B), while P(A and B) is 0.",{"name":120,"@type":111,"acceptedAnswer":121},"When conditional probability P(A | B) is requested, what information is used?",{"text":122,"@type":114},"P(A | B) uses the probability of A given that B has occurred. It is based on the reduced sample space where B is already satisfied.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522718,1791513123,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},962084931830,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 2 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 Algebra 2 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.  \nMutually 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) = 􀀓􀀑􀀕 P","cbCaip3J2loXCpdE","https://ap.wps.com/l/cbCaip3J2loXCpdE","pdf",77326,"English","# Determine if the scenario involves mutually exclusive events\n## Find the probability\n# Determine if events A and B are mutually exclusive\n## Identify whether events are mutually exclusive or not mutually exclusive\n# Events A and B are mutually exclusive\n## Find the missing probability","[{\"question\":\"What does “mutually exclusive” mean for events A and B in these problems?\",\"answer\":\"Events A and B are mutually exclusive when they cannot happen at the same time. If selecting a result satisfying A also automatically prevents B, the events are mutually exclusive.\"},{\"question\":\"How do you compute P(A or B) and P(A and B) for these worksheets?\",\"answer\":\"Use probability relationships based on whether A and B overlap. For mutually exclusive events, P(A or B) equals P(A) + P(B), while P(A and B) is 0.\"},{\"question\":\"When conditional probability P(A | B) is requested, what information is used?\",\"answer\":\"P(A | B) uses the probability of A given that B has occurred. It is based on the reduced sample space where B is already satisfied.\"}]","Mutually Exclusive Events - Determine If Events Are Mutually Exclusive - Find Probabilities | PDF",1791426092]