[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-657334-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-657334-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","cie-igcse-maths-extended-probability-diagrams-tree-venn-diagrams-two-way-tables-revision-notes","CIE IGCSE Maths - Extended Probability Diagrams - Tree & Venn Diagrams - Two Way Tables - Revision Notes","","Revision notes for CIE IGCSE Maths: Extended Probability Diagrams, focusing on two-way tables. Explains what two-way tables represent, how to draw and complete them from question wording, and why row/column (marginal) totals and the grand total matter for answering probability questions. Covers converting table information into probabilities using AND/OR phrasing, plus conditional probability using expressions like P(A|B), including a worked example and examiner guidance to avoid calculation errors.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/cie-igcse-maths-extended-probability-diagrams-tree-venn-diagrams-two-way-tables-revision-notes/657334/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/cie-igcse-maths-extended-probability-diagrams-tree-venn-diagrams-two-way-tables-revision-notes/657334.png","ImageObject",300,407,{"name":42,"@type":43},"Eliana","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-10-26",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the purpose of a two-way table in probability questions?","Question",{"text":62,"@type":63},"A two-way table lets you compare two characteristics within a dataset. Using the cells and the marginal totals, you can calculate probabilities.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you construct and complete a two-way table from information in words?",{"text":67,"@type":63},"Identify the two characteristics, place one on rows and the other on columns, then add marginal totals (and the grand total). Fill in values from the question, combining information when needed to deduce missing entries.",{"name":69,"@type":60,"acceptedAnswer":70},"How do you find probabilities from a completed two-way table?",{"text":71,"@type":63},"Rewrite the question using AND/OR logic to match required events. Use the relevant cell as the numerator, and choose the appropriate total (row/column total or grand total) as the denominator.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},657334,1792977557,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":26,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":79,"read_time":144},4398048949847,"https://ap-avatar.wpscdn.com/avatar/400002536579ef2da7f?_k=1778318612642679267","Head to www.savemyexams. com for more awesome resources  \n CIE IGCSE Maths: Extended  \nProbability Diagrams-Tree & Venn Diagrams  \nContents  \n Two Way Tables  \n Probability & Venn Diagrams  \n Probability Tree Diagrams  \nPage 1 of 37  \n© 2015 − 2024 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers  \nYour notes  \nHead to www.savemyexams. com for more awesome resources  \nTwo Way Tables  \nTwo Way Tables  \nWhat are two-way tables?  \n Two-way tables allow us to consider two characteristics within a set of data  \n For example, we may be interested in the number of students studying Spanish or German  \n We may also be interested in how many of those students are in year 12 and how many are in year 13  \n Spanish/German would be one characteristic in the two-way table, year 12/13 would bethe second  \n One of the characteristics will be represented by the columns, the other by the rows  \n A two-way table should include row totals and column totals  \n The row/column totals are sometimes called marginal (or sub-) totals  \n Wherethe row totals and column totals meet, we have the grand total  \n Marginal totals can be really useful in two-way table questions  \n If they ' re not mentioned, or not included in a given table, add them in!  \n Once a two-way table is completed, with marginal totals, the values within it can be used to determine probabilities  \nHow doI draw and complete a two-way table?  \n To construct atwo-way table from information given in words in a question  \n identify the two characteristics  \n use rows for one characteristic and columns for the other  \n add an extra row and column for the marginal totals (and grand total)  \n Work your way through each sentence in the question  \n |ll in any values you can directly from the information given  \n be prepared to come back to any information that cannot be put into the two-way table directly  \n some information may need combining in order to deduce a value How do I |nd probabilities from a two-way table?  \n This is a matter of going from the words used in the question to probability phrases  \n Aim to rephrase the question in your head using AND and/or OR statements  \n e. g. The probability of selecting a year 12 student who studies German is P( \" year 12 AND German \" )  \n Once you are clear what parts of the two-way table are required you can begin to write down the probability  \n the numerator will betaken from the main body of the two-way table  \n for \" year 12 AND German \" this would bethe cell in thetablewherethe row/column for \" year 12 \"meets the row/column for \" German \"  \n the denominator will bethe total of the group we are choosing from  \n this could be either a row/column (marginal) total or the grand total  \n if we are choosing from the whole group it would bethe grand total  \nPage 2 of 37  \n© 2015 − 2024 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers  \nYour notes  \nHead to www.savemyexams. com for more awesome resources  \n if we are choosing from just year 12 students, say, it would bethe total for the year 12 row/column  \nHow do I work with two-way tablesand conditional probability?  \n Probabilities that only involve a subset of the things in a two-way table are called conditional probabilities  \n For example with male and female students studying various languages, you might want to know the probability that a male student studies German  \n This would require considering only the ' male ' row or column of the two-way table when |nding the probability  \n Conditional probability questions are often (but not always!) introduced by the expression 'given that... '  \n For example ' Find the probability that a randomly chosen student studies German, given that the student is male '  \n The answer would bethe number of ' male AND German ' students divided by the total for the male row or column  \n Conditional probabilities are sometimes written using the 'straight bar ' notation P(A |B)  \n That is read as 'the probability of A given B '  ","cbCaijwcVVDfr448","https://ap.wps.com/l/cbCaijwcVVDfr448","pdf",3985369,37,"English","# Two Way Tables\n## What are two-way tables?\n## How do I draw and complete a two-way table?\n## How do I find probabilities from a two-way table?\n## How do I work with two-way tables and conditional probability?\n## Examiner Tip\n## Worked example","[{\"question\":\"What is the purpose of a two-way table in probability questions?\",\"answer\":\"A two-way table lets you compare two characteristics within a dataset. Using the cells and the marginal totals, you can calculate probabilities.\"},{\"question\":\"How do you construct and complete a two-way table from information in words?\",\"answer\":\"Identify the two characteristics, place one on rows and the other on columns, then add marginal totals (and the grand total). Fill in values from the question, combining information when needed to deduce missing entries.\"},{\"question\":\"How do you find probabilities from a completed two-way table?\",\"answer\":\"Rewrite the question using AND/OR logic to match required events. Use the relevant cell as the numerator, and choose the appropriate total (row/column total or grand total) as the denominator.\"}]","CIE IGCSE Maths - Extended Probability Diagrams - Tree & Venn Diagrams - Two Way Tables - Revision Notes | PDF",93]