[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-366482-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-366482-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","probability-practice-three-coins","Probability Practice - Three Coins","","Probability Practice: Three Coins presents 10 fraction-in-lowest-terms questions using three 2-sided fair coins flipped at random. The problems ask for probabilities of specific outcomes such as the first coin landing heads, all tails, none landing heads, at least one tail, exactly two heads, and all coins landing on the same side. 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   \n2. ) What is the probability of all three coins landing on tails?    \n3. ) What is the probability of none of the coins landing on heads?    \n4. ) What is the probability of at least one of the coins landing on tails?    \n5. ) What is the probability of exactly two of the coins landing on heads?    \n6. ) What is the probability of all three coins landing on the same side?    \n7. ) What is the probability of at least two coins not landing on tails?    \n8. ) What is the probability of second coin landing tails and the first and  \nthird coins both landing on heads? __________  \n9. ) What is the probability that at least two of the coins will land on the  \nsame side? __________  \n10. ) What is the probability that at least one coin will land on heads and  \nat least will land on tails? __________  \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  \nANSWER KEY  \n1. ) What is the probability of the first coin landing on heads?  \n2. ) What is the probability of all three coins landing on tails?  \n3. ) What is the probability of none of the coins landing on heads?  \n4. ) What is the probability of at least one of the coins landing on tails?  \n5. ) What is the probability of exactly two of the coins landing on heads?  \n6. ) What is the probability of all three coins landing on the same side?  \n7. ) What is the probability of at least two coins not landing on tails?  \n8. ) What is the probability of second coin landing tails and the first and third coins both landing on heads?  \n9. ) What is the probability that at least two of the coins will land on the same side?  \n10. ) What is the probability that at least one coin will land on heads and at least will land on tails?  \n􀀡  \n􀀢  \n􀀡  \n􀀣  \n􀀤  \n􀀥  \n􀀣  \n􀀦  \n􀀣  \n􀀡  \n􀀧  \n􀀡  \n􀀢  \n􀀡  \n􀀣  \n􀀡  \n􀀦  \n􀀧  \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","cbCail5jltbRe0UE","https://ap.wps.com/l/cbCail5jltbRe0UE","pdf",276130,"English","# Directions\n# Probability Questions\n## Individual outcome probabilities\n## Joint and “at least/none/exactly” conditions","[{\"question\":\"What type of coins and probability format does the worksheet use?\",\"answer\":\"It uses three 2-sided fair coins flipped at random. Answers must be expressed as fractions in lowest terms.\"},{\"question\":\"How do the worksheet questions handle “none,” “at least,” and “exactly” outcomes?\",\"answer\":\"Each question specifies an event type, such as “none” of coins landing on heads, “at least one” coin landing on tails, or “exactly two” coins landing on heads.\"},{\"question\":\"What joint condition is tested in question 8?\",\"answer\":\"Question 8 asks for the probability that the second coin lands tails while the first and third coins both land heads.\"}]","Probability Practice - Three Coins | PDF"]