[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-363015-105":59,"doc-detail-363015-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","theoretical-vs-experimental-probability-solve-problems-and-answer-key","Theoretical vs. Experimental Probability - Solve Problems and Answer Key","","Worksheets on theoretical and experimental probability explain what each type means and how it is calculated. A table contrasts theoretical probability from favorable outcomes divided by total outcomes with experimental probability based on results from a trial. Ten practice problems use spinners, coins, dice, and marble draws, asking for probabilities and expected frequencies. An answer key provides solutions and a short comparison explanation.",{"@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/theoretical-vs-experimental-probability-solve-problems-and-answer-key/363015/",{"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/theoretical-vs-experimental-probability-solve-problems-and-answer-key/363015.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find theoretical probability?","Question",{"text":113,"@type":114},"Theoretical probability is based on what should happen in a perfect situation: favorable outcomes ÷ total outcomes.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find experimental probability?",{"text":118,"@type":114},"Experimental probability is based on what actually happens in a trial: number of times an event occurs ÷ total trials.",{"name":120,"@type":111,"acceptedAnswer":121},"What is the difference between theoretical and experimental probability?",{"text":122,"@type":114},"Theoretical probability is based on math predictions, while experimental probability is based on actual results from an experiment.","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},363015,1790672064,{"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},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:  \n________________________________  \n| Type of Probability | What It Means | How It’s Found |\n| --- | --- | --- |\n| Theoretical | Based on what should happen in a perfect situation. | Favorable outcomes ÷ Total outcomes |\n| Experimental | Based on what actually happens in an experiment or trial. | Number of times an event occurs ÷ Total trials |\n\nTheoretical vs. Experimental Probability  \nDirections: Solve each problem. Show your thinking when necessary.  \n1. A spinner has 4 equal sections: red, blue, green, and yellow.  \nWhat is the theoretical probability of landing on red?  \nAnswer:    \n2. Caleb flipped a coin 20 times. He got heads 6 times and tails 14 times. What is the experimental probability of getting heads?  \nAnswer:    \n3. A bag has 3 green marbles, 5 blue marbles, and 2 red marbles. What is the theoretical probability of pulling a blue marble?  \nAnswer:    \n4. Jen rolls a number cube (1–6) 24 times. She rolls a 4 seven times.  \nWhat is the experimental probability of rolling a 4? 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 spinner has 8 equal sections. 3 are red, 3 are yellow, and 2 are blue. How many times would you expect to land on blue in 40 spins?  \nAnswer:    \n6. Which of the following is experimental probability?  \nA.“The chance of rolling a 2 on a fair die is 1/6 .”  \nB.“In 30 rolls, I got a 2 ten times.”Answer:    \n7. Owen flipped a coin 50 times. He got heads 27 times. What is the experimental probability of getting tails?  \nAnswer:    \n8. A bag contains 10 marbles: 4 red, 4 blue, and 2 green.  \nYou randomly draw a marble. What is the theoretical probability of pulling a green one?  \nAnswer:    \n9. Serena spins a spinner 20 times. It lands on green 6 times.  \nWhat theoretical probability might she expect if the spinner has 4 equal colors?  \nAnswer:    \n10. A standard number cube is rolled.  \nWhat is the difference between theoretical and experimental probability?  \nWrite a short explanation:  \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. 1/4  \n2. 6/20 or 3/10  \n3. 5/10 or 1/2 4. 7/24  \n5. 10  \n6. B  \n7. 23/50  \n8. 2/10 or 1/5 9. 1/4  \n10. Theoretical probability is based on what should happen using math; experimental probability is based on actual results from an experiment.  \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","cbCaia7um4Y6kg8U","https://ap.wps.com/l/cbCaia7um4Y6kg8U","pdf",566315,"English","# Theoretical vs. Experimental Probability\n## Meanings and Formulas\n## Practice Problems\n## Answer Key","[{\"question\":\"How do you find theoretical probability?\",\"answer\":\"Theoretical probability is based on what should happen in a perfect situation: favorable outcomes ÷ total outcomes.\"},{\"question\":\"How do you find experimental probability?\",\"answer\":\"Experimental probability is based on what actually happens in a trial: number of times an event occurs ÷ total trials.\"},{\"question\":\"What is the difference between theoretical and experimental probability?\",\"answer\":\"Theoretical probability is based on math predictions, while experimental probability is based on actual results from an experiment.\"}]","Theoretical vs. Experimental Probability - Solve Problems and Answer Key | PDF",1790149667]