[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657341-105":59,"doc-detail-657341-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","probability-trees-practice-questions","Probability Trees - Practice Questions","","A set of probability-tree practice questions covering a range of two-stage chance problems. Scenarios include choosing items at food stands, repeated game outcomes, drawing marbles and cards with replacement or without replacement, and conditional probability with weather and school closure. The worksheet also includes dart-throw outcomes, rolling dice to win/lose, selecting clothing combinations, and combining events to find overall probabilities. 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The probability tree below shows the probability of buying each item.  \n(a) Complete the probability tree.  \n(b) What is the probability that Amy buys a burger and a tea?  \nTea  \nCoffee  \nTea  \nCoffee  \n(c) What is the probability that Amy buys a hot dog and a coffee?  \n2.  \nBrett is going to play a video game twice. The probability that Brett wins the game is 16.  \n(a) Complete the probability tree.  \nWin  \nLose  \nWin  \nLose  \nWin  \nLose  \n(b) What is the probability that Brett loses twice?  \n3.  \nCarlene is going to the supermarket. The probability that she buys chocolate is 2  \n5.  \nThe probability that she buys milk is 7  \n8.  \n(a) Complete the probability tree.  \nMilk  \nNo Milk  \n(b) What is the probability that Carlene buys milk but not chocolate?  \n4.  \nThe probability that it snows is 0.04.  \nIf it snows, the probability that school is closed is 0.5.  \nIf it doesn’t snow, the probability that school is closed is 0.01.  \n(a) Complete the probability tree.  \nSnow  \nNo Snow  \n(b) What is the probability that school is closed?  \nChocolate  \nNo Chocolate  \nChocolate  \nNo Chocolate  \nClosed  \nOpen  \nClosed  \nOpen  \n5.  \nDouglas is going to throw two darts at bullseye.  \nThe probability of the first throw hitting the bullseye is 0.08.  \nIf the first throw hits, the probability of the second throw hitting is 0.04. If the first throw misses, the probability of the second throw hitting is 0.09.  \n(a) Complete the probability tree.  \nHit  \nMiss  \nHit  \nMiss  \nHit  \nMiss  \n(b) What is the probability that Douglas hits the bullseye only once?  \n6.  \nEdwin has a bag of marbles.  \nThe bag contains 7 green marbles and 5 blue marbles.  \nHe is going to pick two marbles from the bag, with replacement.  \n(a) Complete the probability tree.  \nGreen  \nBlue  \nGreen  \nBlue  \nGreen  \nBlue  \n(b) What is the probability that Edwin picks two marbles of the same colour?  \n7.  \nFiona has a box of chocolates.  \nThe box contains 11 caramel chocolates and 9 plain chocolates.  \nShe is going to pick two chocolates at random, without replacement.  \n(a) Complete the probability tree.  \nCaramel  \nPlain  \n(b) What is the probability that Fiona picks two plain chocolates?  \nCaramel  \nPlain  \nCaramel  \nPlain  \n(c) What is the probability that Fiona picks a caramel and a plain chocolate?  \n8.  \nGlyn has a deck of 25 cards.  \n11 of the cards are black and the rest are red.  \nHe is going to pick two cards from the deck, without replacement.  \n(a) Complete the probability tree.  \nBlack  \nRed  \nBlack  \nRed  \nBlack  \nRed  \n(b) What is the probability that Glyn does not pick a red card?  \n9.  \nHarriet has a tin of biscuits.  \nThe tin contains 12 custard creams, 15 rich teas and 11 digestives. She is going to pick two biscuits from the tin to eat.  \n(a) Complete the probability tree.  \nCustard Cream  \nRich Tea  \nDigestive  \nCustard Cream  \nRich Tea  \nDigestive  \nCustard Cream  \nRich Tea  \nDigestive  \nCustard Cream  \nRich Tea  \nDigestive  \n(b) What is the probability that Harriet eats two digestives?  \n(c) What is the probability that Harriet eats a rich tea and a custard cream?  \n(d) What is the probability that Harriet eats two biscuits of the same type?  \n(e) What is the probability that Harriet eats two different biscuits?  \n10.  \nA bag contains 18 yellow counters and 12 blue counters.  \nImran is going to pick two counters from the bag, without replacement.  \n(a) Complete the probability tree.  \nYellow  \nBlue  \nYellow  \nBlue  \nYellow  \nBlue  \n(b) What is the probability that Imran picks two counters of different colours?  \nJasmine is going to pick two counters from the same bag, with replacement.  \n(c) Complete the probability tree.  \nYellow  \nBlue  \nYellow  \nBlue  \nYellow  \nBlue  \n(d) What is the probability that Jasmine picks two counters of different colours?  \n(e) Who is more likely to pick two counters of different colour","cbCaigznUtYjSTME","https://ap.wps.com/l/cbCaigznUtYjSTME","pdf",129947,"English","# Probability Tree Questions\n## Items, games, and repeated trials\n## Conditional probability and probability of outcomes","[{\"question\":\"What does the worksheet ask students to do for each scenario?\",\"answer\":\"Students complete the probability tree diagram and then answer one or more questions about the probability of particular outcomes.\"},{\"question\":\"How do replacement and without replacement affect the probabilities in these questions?\",\"answer\":\"Questions that pick with replacement use the same probabilities across both stages, while without replacement changes the probabilities after the first draw.\"},{\"question\":\"What kinds of probability are included beyond basic counting?\",\"answer\":\"The worksheet includes conditional probability, such as the probability of school being closed given whether it snows, and overall probabilities found by combining those branches.\"}]","Probability Trees - Practice Questions | PDF",1792977577,25]