[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657338-105":59,"doc-detail-657338-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","tree-diagrams-exam-style-questions","Tree Diagrams - Exam Style Questions","","Exam-style probability questions focused on constructing and completing probability tree diagrams, then using them to compute requested event probabilities. Problems cover conditional outcomes across two-stage situations such as arcade games, repeated sock or counter selections, dart throws, rain-dependent delays, two spins of a spinner, weekend train punctuality, and exam pass-or-retake scenarios. Guidance emphasizes careful reading, time management, attempting all questions, checking answers, and showing working clearly.",{"@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/tree-diagrams-exam-style-questions/657338/",{"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/tree-diagrams-exam-style-questions/657338.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-26",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skills are needed to answer these questions?","Question",{"text":112,"@type":113},"Complete probability tree diagrams and then calculate requested probabilities based on the branches. You must also show working and check your answers.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do the questions include conditional probability?",{"text":117,"@type":113},"Yes. For example, the probability of a bus being late depends on whether it rains, which requires using conditional branches in the tree diagram.",{"name":119,"@type":110,"acceptedAnswer":120},"How are multi-step events handled in the calculations?",{"text":121,"@type":113},"The problems break outcomes into stages (e.g., first and second throws, first and second socks). The final probability is found by combining relevant branch probabilities from the tree diagram.","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},657338,1793066080,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":41},8796095461564,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","| Name: |  |\n| --- | --- |\n| Exam Style Questions\u003Cbr>| |\n| Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed |  |\n\nGuidance  \n1. Read each question carefully before you begin answering it.  \n2. Don ʼt spend too long on one question.  \n3. Attempt every question.  \n4. Check your answers seem right.  \n5. Always show your workings  \nRevision for this topic  \n1. James goes to an arcade.  \nHe has one go on the Teddy Grabber.  \nHe has one go on the Penny Drop.  \nThe probability that he wins on the Teddy Grabber is 0.2.  \nThe probability that he wins on the Penny Drop is 0.3.  \n(a) Complete the tree diagram.  \n(2)  \n(b) Work out the probability that James wins on the Teddy Grabber and he also wins on the Penny Drop.  \n2. Natalie has 8 socks in a drawer.  \n5 of the socks are black.  \n3 of the socks are white.  \nNatalie takes out a sock at random, writes down its colour and puts it back into the drawer.  \nThen Natalie takes out a second sock, at random, and writes down its colour.  \n(a) Complete the probability tree diagram.  \n(2)  \n(b) Work out the probability that the two socks are the same colour.  \n(2)  \n3. A football team has two matches to play.  \nThe probability that the team wins is 0.6.  \nThe probability that the team draws is 0.3.  \n(a) Complete the tree diagram.  \n(2)  \n(b) Work out the probability that the team will win both matches.  \n4. There are green and blue counters in a container.  \nKevin takes at random a counter from the container.  \nHe replaces the counter in the container.  \nKevin takes at random a second counter from the container.  \n(a) Complete the probability tree diagram.  \n(2)  \n(b) Work out the probability that Kevin picks counters that are different colour.  \n5. Jennifer is playing darts.  \nShe throws two darts aiming for a Bullseye.  \nThe probability Jennifer hits the Bullseye on her first throw is ¼. The probability she hits the Bullseye on her second throw ⅓.  \n(a) Complete the tree diagram.  \n(b) Work out the probability Jennifer hits the Bullseye at least once.  \n6. In a small village, one bus arrives a day.  \nThe probability of rain in the village is 0.3.  \nIf it rains, the probability of a bus being late is 0.4.  \nIf it does not rain, the probability of a bus being late is 0.15.  \n(a) Complete the tree diagram  \n(2)  \n(b) Work out the number of days the bus will be late over a period of 80 days.  \n7. Shown is a spinner.  \nThe probability of a 1 is 2x.  \nThe probability of a 2 is x.  \nThe probability of a 3 is 2x.  \n(a) Calculate the value of x.  \n(2)  \nThe spinner is spun twice and the scores are added together.  \n(b) Work out the probability of the final score being 4.  \nYou may use the tree diagram to help you.  \n..........................  \n8. The probability that a train arrives late is 0.2 James is travelling by train on Saturday and Sunday.  \n(a) Show this information on a probability tree diagram.  \n(2)  \n(b) Calculate the probability the train is on time both days.  \n9. A college course consists of 12 weeks of teaching with a final exam at the end of the course.  \nIf a student fails the final exam, they have one opportunity to retake the exam.  \nThe probability of a student passing the final exam is 0.8  \nThe probability of a student passing the retake is 0.4  \n(a) Complete the probability tree diagram.  \n(2)  \nIf a student passes the final exam or the retake, they receive a certificate.  \n(b) Work out the probability of a student receiving a certificate.","cbCainvqHa4h1grL","https://ap.wps.com/l/cbCainvqHa4h1grL","pdf",595873,12,"English","# Guidance\n## Revision for this topic\n# Questions","[{\"question\":\"What skills are needed to answer these questions?\",\"answer\":\"Complete probability tree diagrams and then calculate requested probabilities based on the branches. You must also show working and check your answers.\"},{\"question\":\"Do the questions include conditional probability?\",\"answer\":\"Yes. For example, the probability of a bus being late depends on whether it rains, which requires using conditional branches in the tree diagram.\"},{\"question\":\"How are multi-step events handled in the calculations?\",\"answer\":\"The problems break outcomes into stages (e.g., first and second throws, first and second socks). The final probability is found by combining relevant branch probabilities from the tree diagram.\"}]","Tree Diagrams - Exam Style Questions | PDF",1792977570]