[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657347-105":59,"doc-detail-657347-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","probability-tree-diagrams-exercise-worksheet","Probability-Tree-Diagrams - Exercise Worksheet","","This educational worksheet provides a structured introduction to using probability tree diagrams to calculate outcomes and event probabilities. It features guided exercises involving independent events, specifically the flipping of three coins (penny, nickel, quarter) and the gender distribution in the birth of three children. The document includes clear objectives, step-by-step tree diagram completion tasks, sample space identification, and comprehensive answer keys to facilitate self-assessment and mastery of basic probability concepts.",{"@graph":69,"@context":122},[70,84,105],{"@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/probability-tree-diagrams-exercise-worksheet/657347/",{"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/probability-tree-diagrams-exercise-worksheet/657347.png","ImageObject",300,407,{"name":92,"@type":93},"Rowan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-26",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the sample space for flipping a single penny?","Question",{"text":112,"@type":113},"The sample space for a single coin flip consists of two possible outcomes: Heads (H) or Tails (T), denoted as S = {H, T}.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many total outcomes are possible when flipping three different coins?",{"text":117,"@type":113},"When flipping three coins (penny, nickel, and quarter), there are 2^3 = 8 possible outcomes in the sample space: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.",{"name":119,"@type":110,"acceptedAnswer":120},"In the birth of three children experiment, what is the probability of having at least one boy?",{"text":121,"@type":113},"Given there are 8 possible outcomes (BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG), only the outcome GGG results in no boys. Therefore, the probability of having at least one boy is 7/8.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},657347,1792977598,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39},1099514067415,"https://ap-avatar.wpscdn.com/avatar/100002539d78ffe74a7?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779092875211072502","Probability: Tree Diagrams  \nObjectives:  \n􀁸 Using tree diagrams  \n􀁸 Finding possible outcomes and probability  \nExercises:  \n1. What is the sample space of flipping a penny?  \n2. Finish filling in the tree diagram to show all the possible outcomes in an experiment when we flip three coins: a penny, a nickel, and a quarter.  \nHTT  \nPenny  \nNickel  \nQuarter  \nSample Space  \nStart  \nHeads  \nHeads  \n HHH   \nTails  \nHeads  \n Tails   \nTails  \na. How many outcomes are possible? List all the outcomes.  \nb. What is the probability you get 3 tails?  \nc. What is the probability you get 2 tails?  \nd. What is the probability you get at least 2 tails?  \ne. What is the probability you get at most 1 head?  \nf. What is the probability you get 4 heads?  \n3. Finish filling in the tree diagram that represents the birth of three children.  \n1st Child  \n2nd Child  \n3rd Child  \nSample Space  \nStart  \nBoy  \nGirl  \nBoy   \nGirl   \na. How many outcomes are possible? List all the outcomes.  \nb. What is the probability you get at most 2 girls?  \nc. What is the probability you get all boys?  \nd. What is the probability you get at least 1 boy?  \ne. What is the probability you get 4 girls?  \nAnswers:  \n1. S = {H,T}  \n2a. 8; HHH, HHT, HTH, HTT, THH, THT, TTH, TTT 2b. 18  \n2c. 38 2d. 12  \n2e. 12  \n2f. 0  \n3a. 8; BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG 3b. 78  \n3c. 18 3d. 78 3e. 0","cbCairOCtogK0IkG","https://ap.wps.com/l/cbCairOCtogK0IkG","pdf",225900,"English","# Objectives\n# Exercises\n## Coin Flip Experiment\n## Birth of Three Children Experiment\n# Answers","[{\"question\":\"What is the sample space for flipping a single penny?\",\"answer\":\"The sample space for a single coin flip consists of two possible outcomes: Heads (H) or Tails (T), denoted as S = {H, T}.\"},{\"question\":\"How many total outcomes are possible when flipping three different coins?\",\"answer\":\"When flipping three coins (penny, nickel, and quarter), there are 2^3 = 8 possible outcomes in the sample space: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.\"},{\"question\":\"In the birth of three children experiment, what is the probability of having at least one boy?\",\"answer\":\"Given there are 8 possible outcomes (BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG), only the outcome GGG results in no boys. Therefore, the probability of having at least one boy is 7/8.\"}]","Probability-Tree-Diagrams - Exercise Worksheet | PDF"]