[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657367-105":59,"doc-detail-657367-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-video-252","Tree Diagrams - Video 252","","A structured set of probability questions centered on drawing and using tree diagrams to model conditional events and sequential outcomes. Topics include coin flips, scoring and test pass/fail scenarios, arcade prize odds, sweets with replacement, bus punctuality over multiple days, independent daily activities across 200 days, spinner outcomes with algebra, and choosing counters or apples without replacement. Final prompts often require calculating combined probabilities and solving for unknown values such as x.",{"@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-video-252/657367/",{"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-video-252/657367.png","ImageObject",300,407,{"name":92,"@type":93},"\tCallum ","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 does the document ask you to do with tree diagrams?","Question",{"text":112,"@type":113},"Most questions require copying or drawing a tree diagram to represent the branching probabilities for sequential events, then using the branches to calculate requested probabilities.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are probabilities combined across multiple stages in these problems?",{"text":117,"@type":113},"The document uses tree-diagram multiplication along a path to combine probabilities for one specific sequence, and then adds probabilities from all relevant paths for outcomes like “at least one” or “exactly one.”",{"name":119,"@type":110,"acceptedAnswer":120},"Which problems involve solving for an unknown value?",{"text":121,"@type":113},"Several tasks include finding unknowns from probability relationships, such as determining x in the spinner and apple questions, and then using that value to compute final probabilities.","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},657367,1793065535,{"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":24,"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":143,"read_time":144},137451211410,"https://ap-avatar.wpscdn.com/avatar/2000bb0a9246f588df?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786362646172706240","Tree Diagrams  \nVideo 252 on [www.corbettmaths.com](www.corbettmaths.com)  \nClick here  \nQuestion 1: A fair coin is =lipped twice.  \n(a) Find the probability of getting two heads  \n(b) Find the probability of getting a head and then a tail  \n(c) Find the probability of getting at least one head  \nQuestion 2: Matt and Thomas each take a penalty.  \nThe probability that Matt scores is 0.6 The probability that Thomas scores is 0.7  \n(a) Find the probability of both boys missing  \n(b) Find the probability of one boy scoring  \n(c) Find the probability of at least one boy missing  \nQuestion 3: Megan and Rosie sit their driving tests.  \nThe probability that Megan passes the test is 0.8 The probability the Rosie fails the test is 0.3  \n(a) Copy and complete the tree diagram  \n(b) Find the probability that both women pass  \n(c) Find the probability that Megan fails and Rosie passes  \n(d) Find the probability that at least one woman passes  \n© CORBETTMATHS 2017  \nTree Diagrams  \nVideo 252 on [www.corbettmaths.com](www.corbettmaths.com)  \nQuestion 4: Harry goes to an arcade. He has one go on the Teddy Grabber and one go on the Penny Drop.  \nThe probability that he wins on the Teddy Grabber is ⅓  \nThe probability that he wins on the Penny Drop is ⅖  \n(a) Copy and complete the tree diagram  \n(b) Work out the probability that Harry loses on the Teddy Grabber and he also loses on the Penny Drop  \n(c) Work out the probability that Harry wins on exactly one machine  \nQuestion 5: There are 5 lemon and 4 strawberry sweets in a bag.  \nHailey takes out a sweet at random, writes down its =lavour and puts it back into the bag. Then Hailey takes out a second sweet, at random, and writes down its =lavour.  \n(a) Copy and complete the tree diagram  \n(b) Find the probability of two lemon sweets  \n(c) Find the probability of one of each =lavour  \n(d) Find the probability of no lemon sweets  \nQuestion 6: The probability that a bus arrives late is 0.1 Victor is travelling by bus on Monday and Tuesday.  \n(a) Show this information on a tree diagram  \n(b) Calculate the probability that the bus is on time both days.  \nQuestion 7: Each morning Martina attempts a crossword and a Sudoku  \nThe probability that Martina successfully completes the crossword is 0.3 The probability that Martina successfully completes the Sudoku is 0.6  \n(a) Show this information on a tree diagram  \n(b) Work out the number of days that Martina successfully completes both the crossword and Sudoku over a period of 200 days.  \n© CORBETTMATHS 2017  \nTree Diagrams  \nVideo 252 on [www.corbettmaths.com](www.corbettmaths.com)  \nApply  \nQuestion 1: Timothy is taking part in an archery competition. The probability of windy weather is 0.2  \nIf it is windy, the probability of Timothy hitting the target is 0.35 If it is not windy, the probability of Timothy hitting the target is 0.8  \n(a) Draw a tree diagram to show this information  \n(b) Find the probability of Timothy hitting the target.  \nQuestion 2: A football team has two matches to play.  \nThe probability that the team wins is 0.3  \nThe probability that the team draws is 0.5  \nA win is worth 3 points, a draw 1 point and a loss 0 points.  \nCalculate the probability that the team will score at least 3 points over the two matches.  \nQuestion 3: Shown is a spinner.  \nThe probability of a 1 is 3x  \nThe probability of a 2 is x  \nThe probability of a 3 is 4x  \n(a) Calculate the value of x The spinner is spun twice and the scores are multiplied together.  \n(b) Work out the probability that the =inal score is odd.  \nQuestion 4: Freddie and Martha have dentist appointments.  \nThe probability that Freddie is on time to his appointment is 0.9  \nThe probability that both Freddie and Martha are on time to their appointments is 0.72  \n(a) Draw a tree diagram for this information  \n(b) Find the probability that both people are late for their appointments  \n© CORBETTMATHS 2017  \nTree Diagrams  \nVideo 252 on [www.corbettmaths.com](www.corbettmaths.com)  \nQuestion","cbCaihrkbVty2cTt","https://ap.wps.com/l/cbCaihrkbVty2cTt","pdf",975650,"English","# Question 1\n# Question 2\n# Question 3\n# Question 4\n# Question 5\n# Question 6\n# Question 7\n# Question 8\n# Apply\n## Question 1\n## Question 2\n## Question 3\n## Question 4\n## Question 5\n## Question 6\n## Question 7\n## Question 8\n# Answers","[{\"question\":\"What does the document ask you to do with tree diagrams?\",\"answer\":\"Most questions require copying or drawing a tree diagram to represent the branching probabilities for sequential events, then using the branches to calculate requested probabilities.\"},{\"question\":\"How are probabilities combined across multiple stages in these problems?\",\"answer\":\"The document uses tree-diagram multiplication along a path to combine probabilities for one specific sequence, and then adds probabilities from all relevant paths for outcomes like “at least one” or “exactly one.”\"},{\"question\":\"Which problems involve solving for an unknown value?\",\"answer\":\"Several tasks include finding unknowns from probability relationships, such as determining x in the spinner and apple questions, and then using that value to compute final probabilities.\"}]","Tree Diagrams - Video 252 | PDF",1792978005,13]