[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-362643-105":59,"doc-detail-362643-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","independent-vs-dependent-events-worksheet-events","Independent vs. Dependent Events - Worksheet - Events","","Independent vs. Dependent Events worksheet helps students classify event relationships in everyday probability situations. Learners decide whether outcomes influence each other, then circle answers or write short responses. The activities cover coin and die trials, drawing items with or without replacement, and selecting students from a class. An answer key provides guidance and includes explanations for what makes two events independent or dependent.",{"@graph":69,"@context":123},[70,84,106],{"@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/independent-vs-dependent-events-worksheet-events/362643/",{"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/independent-vs-dependent-events-worksheet-events/362643.png","ImageObject",300,407,{"name":92,"@type":93},"Franzy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are independent events?","Question",{"text":113,"@type":114},"Independent events are events where the outcome of one event does not affect the outcome of the other.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What are dependent events?",{"text":118,"@type":114},"Dependent events are events where the outcome of one event affects the outcome of the other, usually when items are not replaced.",{"name":120,"@type":111,"acceptedAnswer":121},"How does “not replacing” an item affect event independence?",{"text":122,"@type":114},"Not replacing a drawn item makes the second event dependent on the first, because the total available items changes.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},362643,1790648910,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39,"preview_page_count":4},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name:  \n________________________________  \nIndependent vs. Dependent Events  \n\n| Type of Event | What It Means |\n| --- | --- |\n| Independent | One event does not affect the outcome of the other. |\n| Dependent | One event does affect the outcome of the other (usually when items are not replaced) . |\n\nDirections: Read each situation carefully and decide if the events are independent or dependent. Circle your answer or write it in the blank.  \n1. You roll a number cube, and then flip a coin.  \nAre these events independent or dependent?  \nAnswer:    \n2. A bag has 10 marbles. You pull out one marble and keep it out. Then you pull out a second marble.  \nAre the two events independent or dependent?  \nAnswer:  \n___________________  \n3. Liam flips two coins at the same time.  \nAre the outcomes independent or dependent?  \nAnswer:    \n4. Sarah picks a card from a deck, then puts it back and picks again.  \nAre the events independent or dependent? Answer:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 1  \n5. A teacher randomly chooses one student to answer a question, then chooses another from the remaining students.  \nAre the two choices independent or dependent?  \nAnswer:  \n___________________  \n6. Which one of these pairs of events is dependent?  \nA. Flipping two coins  \nB. Rolling a die and spinning a spinner  \nC. Picking a sock from a drawer, then picking another without replacing it  \nAnswer:  \n_____________  \n7. You toss a coin 5 times in a row.  \nAre the outcomes of each toss independent or dependent?  \nAnswer:    \n8. Maya grabs one pencil from a cup, doesn’t put it back, and grabs another. Are these events independent or dependent?  \nAnswer:    \n9. In your own words, what makes two events independent?  \n10. In your own words, what makes two events dependent?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 2  \nAnswer Key  \n1. Independent  \n2. Dependent  \n3. Independent  \n4. Independent  \n5. Dependent  \n6. C  \n7. Independent  \n8. Dependent  \n9. Sample answer: Two events are independent when the outcome of one does not affect the outcome of the other.  \n10. Sample answer: Two events are dependent when the outcome of one event affects the outcome of the other.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) 3","cbCairI8uz3Ko8J1","https://ap.wps.com/l/cbCairI8uz3Ko8J1","pdf",614127,"English","# Independent vs. Dependent Events\n## Directions and Event Classification\n## Answer Key","[{\"question\":\"What are independent events?\",\"answer\":\"Independent events are events where the outcome of one event does not affect the outcome of the other.\"},{\"question\":\"What are dependent events?\",\"answer\":\"Dependent events are events where the outcome of one event affects the outcome of the other, usually when items are not replaced.\"},{\"question\":\"How does “not replacing” an item affect event independence?\",\"answer\":\"Not replacing a drawn item makes the second event dependent on the first, because the total available items changes.\"}]","Independent vs. Dependent Events - Worksheet - Events | PDF",1790148662]