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Covers constructing probability trees for independent weather events, calculating the probability of rain on specified days, and using two-way sample space tables for outcomes from two card packs. Also includes a music playlist probability question comparing combined probabilities to a threshold, with expected process marks and final figures. The mark scheme specifies correct trees, accurate intermediate probabilities, simplified fractions, and combined-probability calculations.",{"@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-probability-trees-and-two-way-tables-mark-scheme/620490/",{"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-probability-trees-and-two-way-tables-mark-scheme/620490.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you calculate the probability of rain on Tuesday and Friday?","Question",{"text":112,"@type":113},"Build a probability tree using the given independent daily rain probabilities, then multiply the rain probabilities for Tuesday (0.5) and Friday (0.7) to get 0.35.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What method is used for Rachel’s two-way table problem?",{"text":117,"@type":113},"Use a complete sample space table for the combinations of colours from Pack 1 and Pack 2, then calculate the probability of picking two cards of the same colour as a simplified fraction.",{"name":119,"@type":110,"acceptedAnswer":120},"How should Susie check whether her probability claim is greater than 0.5?",{"text":121,"@type":113},"Compute the combined probability for “band then solo” using the relevant playlist proportions (e.g., 0.38×0.53 and 0.62×0.47), add the results, and compare the total to 0.5.","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},620490,1793119535,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"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,"preview_page_count":4},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Probability  \nQuestion 1 (Non-calculator Level 2) Probability Trees  \nThe table below shows the probability that it will rain on each day of the week.  \n\n| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |\n| --- | --- | --- | --- | --- | --- | --- |\n| 0.3 | 0.5 | 0.2 | 0.6 | 0.7 | 0.8 | 0.5 |\n\nThe weather each day is independent.  \n(b) Work out the probability that it will rain on Tuesday AND Friday.  \nQuestion 2 (Level 2 Calculator) Two-Way Tables  \nRachel has two packs of coloured cards.  \nEach pack contains an equal number of the following colours  \nRed Blue Green Yellow  \nShe records the possible outcomes of picking one card at random from each pack.  \n(a) Complete the table  \n\n|  | Pack 2 |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| Pack 1 |  | Red | Blue | Green | Yellow |\n|  | Red | RR | RB |  | RY |\n|  | Blue |  |  | BG |  |\n|  | Green | GR |  | GG |  |\n|  | Yellow |  | YB |  | YY |\n\nThomas picks one card at random from each pack.  \n(b) What is the probability that he picks two cards of the same colour. Give your answer as a fraction in its simplest form.  \n.  \nQuestion 3 (Calculator Level 2)  \nSusie and Ian want to listen to some music.  \nSusie has created two playlists each containing 100 songs.  \nPlaylist 1  \nSongs by bands 38  \nSongs by solo artists 62  \nPlaylist 2  \nSongs by bands 47  \nSongs by solo artists 53  \nSusie chooses a song at random from playlist 1.  \nIan chooses a song at random from playlist 2.  \nSusie thinks the probability that one song is by a band and one song is by a solo artist will be greater than 0.5.  \nIs Susie correct?  \n.  \nMark Scheme  \n\n| Question | Process | Mark | Mark\u003Cbr>Ref | Evidence |\n| --- | --- | --- | --- | --- |\n| Q1(a) | Begins to complete probability tree\u003Cbr>Fully correct probability tree | 1 or\u003Cbr>2 | A\u003Cbr>AB | 2 of\u003Cbr>Tuesday 0.5 will rain, will not rain; Friday 0.7 will rain; will not ‘0.3’OR\u003Cbr>Correct values for incorrect days\u003Cbr>Tuesday 0.5 will rain AND 0.5 will not rain AND Friday 0.7 will rain AND Friday 0.3 will not rain |\n| Q1 (b) | Process to find\u003Cbr>probability\u003Cbr>Accurate figure | 1 or\u003Cbr>2 | C\u003Cbr>CD | ‘0.5’ x ‘0.7’ (=0.35)\u003Cbr>Allow use of their figures from Q1(a)\u003Cbr>0.35 |\n| Total marks for question |  | 4 |  |  |\n\n\n| Question | Process | Mark | Mark\u003Cbr>Ref | Evidence |\n| --- | --- | --- | --- | --- |\n| Q2(a) | Completes sample space table | 1 | A | RR RB RG RY\u003Cbr>BR BB BG BY\u003Cbr>GR GB GG GY\u003Cbr>YR YB YG YY |\n| Q2 (b) | Process to find\u003Cbr>probability\u003Cbr>Correctly simplified fraction | 1 or\u003Cbr>2 | B\u003Cbr>BC | 4/16 oe\u003Cbr>Allow indicating RR BB GG YY AND 16\u003Cbr>¼ |\n| Total marks for question |  | 3 |  |  |\n\n\n| Question | Process | Mark | Mark\u003Cbr>Ref | Evidence |\n| --- | --- | --- | --- | --- |\n| Q3 | Begins process to find probabilities\u003Cbr>Begins process to find combined probability\u003Cbr>Full process to find combined probability | 1 or\u003Cbr>2 or\u003Cbr>3 or | A\u003Cbr>AB\u003Cbr>ABC | 0.38 OR 0.62 OR 0.47 OR 0.53 oe\u003Cbr>0.38 x 0.53 (=0.2..) OR 0.62 x\u003Cbr>0.47 (=0.29..)\u003Cbr>‘0.2 ..’ + ‘0.29 ..’ (=0.49..) |\n\n\n|  | Valid decision and accurate figure | 4 | ABCD | No AND 0.49 oe |\n| --- | --- | --- | --- | --- |\n| Total marks for question |  | 4 |  |  |","cbCaiuJk6cDyHq2T","https://ap.wps.com/l/cbCaiuJk6cDyHq2T","pdf",189889,"English","# Question 1 (Non-calculator Level 2)\n## Probability Trees\n# Question 2 (Level 2 Calculator)\n## Two-Way Tables\n# Question 3 (Calculator Level 2)\n## Combined Probability Decision\n# Mark Scheme","[{\"question\":\"How do you calculate the probability of rain on Tuesday and Friday?\",\"answer\":\"Build a probability tree using the given independent daily rain probabilities, then multiply the rain probabilities for Tuesday (0.5) and Friday (0.7) to get 0.35.\"},{\"question\":\"What method is used for Rachel’s two-way table problem?\",\"answer\":\"Use a complete sample space table for the combinations of colours from Pack 1 and Pack 2, then calculate the probability of picking two cards of the same colour as a simplified fraction.\"},{\"question\":\"How should Susie check whether her probability claim is greater than 0.5?\",\"answer\":\"Compute the combined probability for “band then solo” using the relevant playlist proportions (e.g., 0.38×0.53 and 0.62×0.47), add the results, and compare the total to 0.5.\"}]","Probability - Probability Trees and Two-Way Tables - Mark Scheme | PDF",1792464163,15]