[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523567-105":59,"doc-detail-523567-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","Mutually Exclusive Events","","Worksheet on mutually exclusive events in probability, using varied scenarios such as drawing playing cards, selecting chocolates with/without peanuts, choosing shirts by color and fit, picking fruit types, opening a magazine to a specific page number, selecting marbles by color, spinning to regions on a spinner, and drawing tickets by color and odd/even number. For each case, determine whether events are mutually exclusive and then compute missing probabilities using event relationships like complements and unions.",{"@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/523567/",{"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/523567.png","ImageObject",300,407,{"name":92,"@type":93},"dawugda","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",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you determine whether two events are mutually exclusive in these problems?","Question",{"text":113,"@type":114},"Check whether the two events can happen at the same time. If there is no overlap between outcomes, the events are mutually exclusive; otherwise, they are not.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What does P(A or B) represent for mutually exclusive events?",{"text":118,"@type":114},"P(A or B) is the probability that either event A or event B occurs. When events are mutually exclusive, it equals P(A) + P(B).",{"name":120,"@type":111,"acceptedAnswer":121},"How do you compute missing probabilities when given P(A), P(B), and a union or intersection value?",{"text":122,"@type":114},"Use probability rules for complements, unions, and intersections. For example, P(A and B) is 0 when events are mutually exclusive, and unions follow the appropriate relation based on exclusivity.","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},523567,1791506237,{"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},3985747870947,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Precalculus Name   \nMutually Exclusive Events Date  Period   \nDetermine if the scenario involves mutually exclusive events.  \n1) A box contains five red playing cards numbered one to five. The box also contains six black playing cards numbered one to six. You randomly pick a playing card. It is red or has a number less than two.  \n3) A box of chocolates contains five milk chocolates and four dark chocolates. Two of the milk chocolates and two of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. It is a dark chocolate or has no peanuts inside.  \nFind the probability.  \n5) There are eleven shirts in your closet, five blue and six green. Two of the blue shirts and four of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or is too big.  \n7) A basket contains three apples, five peaches, and four pears. You randomly select a piece of fruit. It is an apple or a peach.  \n2) A magazine contains thirteen pages. You open to a random page. The page number is three or five.  \n4) A bag contains four red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. The marble is red or blue.  \n6) A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, it lands in region seven or eight.  \n8) A bag contains six yellow tickets numbered one to six. The bag also contains five green tickets numbered one to five. You randomly pick a ticket. It is yellow or hasan 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(not 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(not A) = ~~ ~~􀀔􀀕 P(B) = ~~ ~~􀀔􀀘 P(A or B) = ~~ ~~􀀘􀀛 P(A and B) = ?  \nKuta Software-Infinite Precalculus Name   \nMutually Exclusive Events Date  Period   \nDetermine if the scenario involves mutually exclusive events.  \n1) A box contains five red playing cards numbered one to five. The box also contains six black playing cards numbered one to six. You randomly pick a playing card. It is red or has a number less than two.  \nNot mutually exclusive  \n3) A box of chocolates contains five milk chocolates and four dark chocolates. Two of the milk chocolates and two of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. It is a dark chocolate or has no peanuts inside.  \nNot mutually exclusive  \nFind the probability.  \n5) There are eleven shirts in your closet, five blue and six green. Two of the blue shirts and four of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or is too big.  \n 􀀚   \n􀀔􀀔  \n􀁼 􀀓􀀑􀀙􀀖􀀙  \n7) A basket contains three apples, five peaches, and four pears. You randomly select a piece of fruit. It is an apple or a peach.  \n 􀀕   \n􀀖  \n􀁼 􀀓􀀑􀀙􀀙􀀚  \n2) A magazine contains thirteen pages. You open to a random page. The page number is three or five.  \nMutually exclusive  \n4) A bag contains four red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. The marble is red or blue.  \nMutually exclusive  \n6) A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, it lands in region seven or eight.  \n 􀀔   \n􀀗  \n􀀠 􀀓􀀑􀀕􀀘  \n8) A bag contains six yellow tickets numbered one to six. The bag also contains five green tickets numbered one to five. You randomly pick a ticket. It is yellow or hasan odd number.  \n 􀀜   \n􀀔􀀔  \n􀁼 􀀓􀀑􀀛􀀔􀀛  \nDetermine if events A and B are mutually exclusive.  \n9) P(A) ","cbCaippFGMnR4RG8","https://ap.wps.com/l/cbCaippFGMnR4RG8","pdf",26082,"English","# Determine if the scenario involves mutually exclusive events\n## Probability problems and event classification\n# Determine if events A and B are mutually exclusive\n## Find the missing probability","[{\"question\":\"How do you determine whether two events are mutually exclusive in these problems?\",\"answer\":\"Check whether the two events can happen at the same time. If there is no overlap between outcomes, the events are mutually exclusive; otherwise, they are not.\"},{\"question\":\"What does P(A or B) represent for mutually exclusive events?\",\"answer\":\"P(A or B) is the probability that either event A or event B occurs. When events are mutually exclusive, it equals P(A) + P(B).\"},{\"question\":\"How do you compute missing probabilities when given P(A), P(B), and a union or intersection value?\",\"answer\":\"Use probability rules for complements, unions, and intersections. For example, P(A and B) is 0 when events are mutually exclusive, and unions follow the appropriate relation based on exclusivity.\"}]","Mutually Exclusive Events | PDF",1791427027]