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The material includes quick review hints for writing probability as a ratio, handling two independent events by multiplying probabilities, and working with diagrams like dice, coins, and colored marbles. Practice and word problems guide learners to set up correct numerators and denominators, then simplify to final answers.",{"@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/ged-math-probability-problems-quick-review-and-practice/265389/",{"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/ged-math-probability-problems-quick-review-and-practice/265389.png","ImageObject",300,407,{"name":92,"@type":93},"นรินทร์","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",37,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you calculate probability for equally likely outcomes?","Question",{"text":113,"@type":114},"Probability equals the number of favorable outcomes divided by the total number of equally likely outcomes. Write the result as a simplified fraction.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find probability when two independent events both happen?",{"text":118,"@type":114},"Multiply the probabilities of each independent event. Then simplify the product into a fraction in simplest form.",{"name":120,"@type":111,"acceptedAnswer":121},"What types of probability word problems are included here?",{"text":122,"@type":114},"Problems use common scenarios such as drawing marbles from a bag, rolling a fair die, drawing from a jar, and flipping coins.","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},265389,1789395185,{"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":130,"read_time":39},2336475104957,"https://ap-avatar.wpscdn.com/avatar/22000c4c6bd8a5076e1?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787554080175789136","Practice 􀀏 Progress 􀀏 Succeed | GED Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nProbability Problems  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \n number of favorable outcomes   \nProbability = . It is always between 0 (impossible) and 1 (certain) .  \ntotal number of equally likely outcomes  \nWrite it as a fraction in simplest form. For two independent events both happening, multiply their probabilities.  \n▷ Example: A bag has 3 red and 5 blue marbles. Find the probability of drawing red. Work: There are 3 red marbles out of 3 + 5 = 8 total,  \nso P(red) = 38 . ⋆ Answer: 38 3 red of 8 marbles: P = 38 .  \n♦ Practice Problems  \nFind each probability. Write answers in simplest form.  \n♦ Word Problems  \n15. A bag has 5 red, 3 blue, and 2 green marbles. What is the probability of drawing red?  \n16. A fair die is rolled. What is the probability of an odd number?  \n17. A jar has 20 marbles, 8 of them yellow. What is the probability of drawing yellow?  \n18. Two coins are 􀀃ipped. What is the probability of getting two tails?  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | GED Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAnswer Keys  \n1. ~~ ~~16  \n2. ~~ ~~12  \n3. ~~ ~~12  \n4. ~~ ~~13  \n5. ~~ ~~13  \n6. ~~ ~~12  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13. ~~ ~~13 14. ~~ ~~15 15. ~~ ~~12 16. ~~ ~~12 17. ~~ ~~25  \n18. ~~ ~~14  \nStep-by-Step Explanations  \n1. Start by naming the process: Probability compares favorable outcomes to total equally likely outcomes, so write that ratio and simplify. The setup/work is There is one 4 out of 6 equally likely faces, so P = 16 . So the 􀀂nal answer is 16 .  \n2. A good way to think about this is: Probability compares favorable outcomes to total equally likely outcomes, so write that ratio and simplify. The setup/work is Even faces are {2 , 4 , 6} – 3 out of 6: 36 = 12 . So the 􀀂nal answer is 12 .  \n3. Step by step: Probability compares favorable outcomes to total equally likely outcomes, so write that ratio and simplify. The setup/work is A coin has 2 sides, one of which is heads: 12 . So the 􀀂nal answer is 12 .  \n4. Take it one move at a time: Probability compares favorable outcomes to total equally likely outcomes, so write that ratio and simplify. The setup/work is 2 red out of 6 total: 26 = 13 . So the 􀀂nal answer is 13 .  \n5. Start by naming the process: Probability compares favorable outcomes to total equally likely outcomes, so write that ratio and simplify. The setup/work is Outcomes more than 4 are {5 , 6} – 2 of 6: 26 = 13 . So the 􀀂nal answer is 13 .  \n6. A good way to think about this is: Probability compares favorable outcomes to total equally likely outcomes, so write that ratio and simplify. The setup/work is Odd numbers {1 , 3 , 5 , 7} – 4 of 8: 48 = 12 . So the ","cbCaifhHYds1rNmp","https://ap.wps.com/l/cbCaifhHYds1rNmp","pdf",113306,"English","# Probability Problems\n## Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems\n## Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"How do you calculate probability for equally likely outcomes?\",\"answer\":\"Probability equals the number of favorable outcomes divided by the total number of equally likely outcomes. Write the result as a simplified fraction.\"},{\"question\":\"How do you find probability when two independent events both happen?\",\"answer\":\"Multiply the probabilities of each independent event. Then simplify the product into a fraction in simplest form.\"},{\"question\":\"What types of probability word problems are included here?\",\"answer\":\"Problems use common scenarios such as drawing marbles from a bag, rolling a fair die, drawing from a jar, and flipping coins.\"}]","GED Math - Probability Problems - quick review and practice | PDF"]