[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657364-105":59,"doc-detail-657364-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-trees-independent-events","Probability Trees - Independent Events","","Probability Trees - Independent Events contains three independent probability-tree questions. It asks for a completed tree and the probability Haseeb loses both a tennis match and a squash match, using given win probabilities. It then requires a probability tree for Jo being late on Monday or Tuesday and calculating the probability she is late on exactly one day. Finally, it uses a pen-color selection scenario (with replacement) to find the probability that two selected pens are the same colour.",{"@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-trees-independent-events/657364/",{"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-trees-independent-events/657364.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","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},"How do you calculate the probability Haseeb loses both matches?","Question",{"text":112,"@type":113},"Find the losing probability for each match from 7/10 and 3/5, then multiply the relevant losing branches and combine along the “lose both” path in the tree.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean for Jo to be late on only one day?",{"text":117,"@type":113},"It means she is late on Monday and not late on Tuesday, or not late on Monday and late on Tuesday; these two probabilities are added.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the probability of drawing two pens of the same colour determined?",{"text":121,"@type":113},"For each colour, multiply the probability of drawing that colour on the first draw by the probability of drawing the same colour again, then add across all colours.","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},657364,1792977998,{"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":14,"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":24},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Probability Trees-Independent Events  \n\n| Haseeb is going to play a tennis match and a squash match.\u003Cbr>The probability he wins the tennis match is  7 \u003Cbr>10.\u003Cbr>The probability he wins the squash match is 3\u003Cbr>5.\u003Cbr>Complete the probability tree diagram.\u003Cbr>Squash\u003Cbr>Tennis 3\u003Cbr>~~ ~~ Haseeb\u003Cbr>5 wins\u003Cbr>7 Haseeb\u003Cbr>10 wins Haseeb  loses\u003Cbr> Haseeb Haseeb wins\u003Cbr> loses\u003Cbr>Haseeb\u003Cbr> loses\u003Cbr>Calculate the probability that Haseeb will lose both matches. | Jo walks to school everyday.\u003Cbr>The probability Jo is late on a Monday is 0.4.\u003Cbr>The probability Jo is late on a Tuesday is 0.2. Complete the probability tree diagram.\u003Cbr>Monday\u003Cbr>0.2\u003Cbr>0.4\u003Cbr>Late\u003Cbr>Not\u003Cbr>Late\u003Cbr>Tuesday\u003Cbr>Late\u003Cbr>Not\u003Cbr>Late\u003Cbr>Late\u003Cbr>Not\u003Cbr>Late\u003Cbr>Workout the probability that Jo is late on only one of the days. | There are 4 black pens, 4 blue pens and 2 red pens in a pack.\u003Cbr>Julia takes at random a pen from the pack notes the colour and puts it back in the pack.\u003Cbr>Work out the probability she selects two pens the same colour. |\n| --- | --- | --- |\n\n[www.missbsresources.com](www.missbsresources.com)  \nAnswers  \nProbability Trees-Independent Events  \n\n| Haseeb is going to play a tennis match and a squash match.\u003Cbr>The probability he wins the tennis match is  7 \u003Cbr>10.\u003Cbr>The probability he wins the squash match is 3\u003Cbr>5.\u003Cbr>Complete the probability tree diagram.\u003Cbr>Squash\u003Cbr>Tennis 3\u003Cbr>~~ ~~ Haseeb\u003Cbr>5 wins\u003Cbr>7 Haseeb\u003Cbr>10 wins  2 Haseeb\u003Cbr>5 loses\u003Cbr>3 Haseeb\u003Cbr> 3  Haseeb 5 wins\u003Cbr>10 loses\u003Cbr>2 Haseeb\u003Cbr>5 loses\u003Cbr>Calculate the probability that Haseeb will lose both\u003Cbr>matches.  3 \u003Cbr>10\u003Cbr>× 2 =  6  =  3 \u003Cbr>5 50 25 | Jo walks to school everyday.\u003Cbr>The probability Jo is late on a Monday is 0.4.\u003Cbr>The probability Jo is late on a Tuesday is 0.2. Complete the probability tree diagram.\u003Cbr>0.4\u003Cbr> 0.6 \u003Cbr>Monday\u003Cbr>0.2\u003Cbr>Late\u003Cbr>Not Late\u003Cbr>0 8\u003Cbr>.\u003Cbr>0.2 0.8\u003Cbr>Tuesday\u003Cbr>Late\u003Cbr>Not\u003Cbr>Late\u003Cbr>Late\u003Cbr>Not\u003Cbr>Late\u003Cbr>Workout the probability that Jo is late on only one of the days. 􀜲 􀜮􀜽􀝐􀝁 , 􀜰􀝋􀝐 􀜮􀜽􀝐􀝁 = 0.4 × 0.8 = 0.32\u003Cbr>􀜲 􀜰􀝋􀝐 􀜮􀜽􀝐􀝁 , 􀜮􀜽􀝐􀝁 = 0.6 × 0.2 = 0.12\u003Cbr>􀜲 􀜮􀜽􀝐􀝁 􀜱􀝊􀝁 􀜦􀜽􀝕 = 0.32 + 0.12 = 0.44 | There are 4 black pens, 4 blue pens and 2 red pens in a pack.\u003Cbr>Julia takes at random a pen from the pack notes the colour and puts it back in the pack.\u003Cbr>Work out the probability she selects two pens the same colour.\u003Cbr>􀜲 􀜤􀝈􀜽􀜿􀝇, 􀜤􀝈􀜽􀜿􀝇 =  4  ×  4  =  16  10 10 100\u003Cbr>􀜲 􀜤􀝈􀝑􀝁 , 􀜤􀝈􀝑􀝁 = 410 × ~~ ~~410 = 16100 􀜲 􀜴􀝁􀝀 , 􀜴􀝁􀝀 = 210 × ~~ ~~210 = 1400\u003Cbr>􀜲 􀜵􀜽􀝉􀝁 􀜥􀝋􀝈􀝋􀝑􀝎 = 16100 + ~~ ~~16100 + ~~ ~~1400 36 18 9\u003Cbr>=  =  = \u003Cbr>100 50 25 |\n| --- | --- | --- |\n\n[www.missbsresources.com](www.missbsresources.com)","cbCaiuHADpEWO2H4","https://ap.wps.com/l/cbCaiuHADpEWO2H4","pdf",562637,"English","# Probability Trees - Independent Events\n## Haseeb: Lose both matches\n## Jo: Late on only one day\n## Julia: Two pens the same colour","[{\"question\":\"How do you calculate the probability Haseeb loses both matches?\",\"answer\":\"Find the losing probability for each match from 7/10 and 3/5, then multiply the relevant losing branches and combine along the “lose both” path in the tree.\"},{\"question\":\"What does it mean for Jo to be late on only one day?\",\"answer\":\"It means she is late on Monday and not late on Tuesday, or not late on Monday and late on Tuesday; these two probabilities are added.\"},{\"question\":\"How is the probability of drawing two pens of the same colour determined?\",\"answer\":\"For each colour, multiply the probability of drawing that colour on the first draw by the probability of drawing the same colour again, then add across all colours.\"}]","Probability Trees - Independent Events | PDF"]