[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523568-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523568-en":131},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","kuta-software-infinite-precalculus-probability-with-combinatorics-probability-problems","Kuta Software-Infinite Precalculus Probability with Combinatorics - Probability Problems","","Worksheets focusing on probability calculations using combinations and related counting principles. Problems cover recovering random math homework pages, guessing true/false test answers, coin outcomes over multiple flips, playlist order without repetition, gender distribution among babies, binomial-style free-throw results, mixed-species fish catches, button color selections, random class sampling, and tulip bulb color outcomes. Each event asks for a specific probability under equal-likelihood assumptions.",{"@graph":14,"@context":73},[15,34,56],{"@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/kuta-software-infinite-precalculus-probability-with-combinatorics-probability-problems/523568/",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/kuta-software-infinite-precalculus-probability-with-combinatorics-probability-problems/523568.png","ImageObject",300,407,{"name":42,"@type":43},"dawugda","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-11","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",15,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What types of probability problems are included in the worksheet?","Question",{"text":63,"@type":64},"The worksheet presents multiple event-based probability problems modeled with equal-likelihood assumptions, including selections, orderings without repetition, and binomial-style outcomes.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the probabilities generally determined in these problems?",{"text":68,"@type":64},"They are computed by counting favorable outcomes and dividing by the total number of equally likely outcomes for the described random process.",{"name":70,"@type":61,"acceptedAnswer":71},"What does the worksheet ask students to do for each problem?",{"text":72,"@type":64},"For each scenario, it asks for the probability that the specified event occurs, such as recovering all math pages, getting exactly five correct answers, or selecting a particular number of items of a given type.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523568,1791504223,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"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":144,"read_time":124,"preview_page_count":4},3985747870947,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Precalculus Probability with Combinatorics  \nFind the probability of each event.  \n1) Cody is carrying seven pages of math homework and three pages of English homework. A gust of wind blows the pages out of his hands and he is only able to recover seven random pages. What is the probability that he recovers all of his math homework?  \n3) A test consists often true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers exactly five questions correctly?  \n5) A fair coin is flipped seven times. What is the probability of the coin landing tails up at most five times?  \nName  Date  Period   \n2) There are eight songs on your playlist. With random shuffle and no repetition, you listen to two songs. What is the probability that you listened to your favorite song first and your least favorite song second?  \n4) One day, eight babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probability that exactly six of the eight babies are girls?  \n6) A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at most nine out of eleven free throws?  \n7) A small pond contains five catfish and six bluegill. If seven fish are caught at random, what is the probability that exactly three catfish have been caught?  \n9) Ajar contains seven black buttons and five brown buttons. If eight buttons are picked at random, what is the probability that at most five of them are black?  \n8) A class has six girls and five boys. If the teacher randomly picks six students, what is the probability that she will pick exactly three boys?  \n10) A gardener has fourteen identical-looking tulip bulbs, of which six will produce yellow tulips and eight will become pink. She randomly selects and plants eight of them and then gives the rest away. When the flowers start to bloom, what is the probability that at most four of them are yellow?  \nKuta Software-Infinite Precalculus Probability with Combinatorics  \nFind the probability of each event.  \n1) Cody is carrying seven pages of math homework and three pages of English homework. A gust of wind blows the pages out of his hands and he is only able to recover seven random pages. What is the probability that he recovers all of his math homework?  \n 􀀔   \n􀁼 􀀓􀀑􀀛􀀖􀀖 %􀀔􀀕􀀓  \n3) A test consists often true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers exactly five questions correctly?  \n 􀀙􀀖   \n􀁼 􀀕􀀗􀀑􀀙􀀓􀀜 %􀀕􀀘􀀙  \n5) A fair coin is flipped seven times. What is the probability of the coin landing tails up at most five times?  \n 􀀔􀀘   \n􀀔􀀙  \n􀀠 􀀜􀀖􀀑􀀚􀀘 %  \nName  Date  Period   \n2) There are eight songs on your playlist. With random shuffle and no repetition, you listen to two songs. What is the probability that you listened to your favorite song first and your least favorite song second?  \n􀀔  \n􀀘􀀙  \n􀁼 􀀔􀀑􀀚􀀛􀀙 %  \n4) One day, eight babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probability that exactly six of the eight babies are girls?  \n 􀀚   \n􀀙􀀗  \n􀁼 􀀔􀀓􀀑􀀜􀀖􀀛 %  \n6) A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at most nine out of eleven free throws?  \n 􀀘􀀓􀀜   \n􀁼 􀀜􀀜􀀑􀀗􀀔􀀗 %􀀘􀀔􀀕  \n7) A small pond contains five catfish and six bluegill. If seven fish are caught at random, what is the probability that exactly three catfish have been caught?  \n 􀀘   \n􀀔􀀔  \n􀁼 􀀗􀀘􀀑􀀗􀀘􀀘 %  \n9) Ajar contains seven black buttons and five brown buttons. If eight buttons are picked at random, what is the probability that at most five of them are black?  \n 􀀕􀀛   \n􀀖􀀖  \n􀁼 􀀛􀀗􀀑􀀛􀀗􀀛 %  \n8) A class has six girls and five boys. If the teacher randomly picks six students, what is the probability that she will pick exactly three boys?  \n 􀀔􀀓􀀓   \n􀁼 􀀗􀀖􀀑􀀕􀀜 %􀀕􀀖􀀔  \n10) A gardener has fourteen identical-l","cbCaitJJGdOa4MSg","https://ap.wps.com/l/cbCaitJJGdOa4MSg","pdf",24702,"English","# Find the probability of each event\n## Event scenarios\n### Homework pages, test guessing, coin flips\n### Songs, babies, free throws\n### Fish, buttons, class selection\n### Tulip bulbs","[{\"question\":\"What types of probability problems are included in the worksheet?\",\"answer\":\"The worksheet presents multiple event-based probability problems modeled with equal-likelihood assumptions, including selections, orderings without repetition, and binomial-style outcomes.\"},{\"question\":\"How are the probabilities generally determined in these problems?\",\"answer\":\"They are computed by counting favorable outcomes and dividing by the total number of equally likely outcomes for the described random process.\"},{\"question\":\"What does the worksheet ask students to do for each problem?\",\"answer\":\"For each scenario, it asks for the probability that the specified event occurs, such as recovering all math pages, getting exactly five correct answers, or selecting a particular number of items of a given type.\"}]","Kuta Software-Infinite Precalculus Probability with Combinatorics - Probability Problems | PDF",1791427027]