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Problems use counting principles across multiple scenarios, including sandwich choices, scheduling chess practice days and times, spinner results combined with a die, button outputs repeated twice, and selecting team members for sequential questions. 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The possible days are  \nTuesday, Wednesday, or Thursday.  \n3) The chess club must decide when to meet 4) When a button is pressed, a computer for a practice. The possible days are program outputs a random odd number Tuesday, Wednesday, or Thursday. The greater than 1 and less than 9. You press possible times are 3, 4, or 5 p.m. the button twice.  \n5) A spinner can land on either red or blue. 6) There are two boys and a girl on a trivia [You spin and then roll a six-sided die. team. Two questions](You spin and then roll a six-sided die. team. Two questions) remain. One team  \nmember is randomly picked to answer the first question and a different member is picked to answer the second question.  \nFind the number of possible outcomes in the sample space.  \n7) A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.  \n9) Eight rooms in a house need to be painted. Each room can be painted white or yellow.  \n8) A spinner can land on either red, blue, or green. You spin twice.  \n10) Six books need to be placed on a shelf. You randomly arrange the books on the shelf from left to right.  \nKuta Software-Infinite Algebra 2  \nSample Spaces and The Counting Principle  \nName  Date  Period   \nRepresent the sample space using set notation.  \n1) A sandwich shop has three types of sandwiches: ham, turkey, and chicken.  \n{ham, turkey, chicken}  \n3) The chess club must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday. The possible times are 3, 4, or 5 p.m.  \n{(T, 3),(T, 4),(T, 5),  \n(W, 3),(W, 4),(W, 5),  \n(R, 3),(R, 4),(R, 5)}  \n5) A spinner can land on either red or blue. You spin and then roll a six-sided die.  \n{(R, 1),(R, 2),(R, 3),(R, 4),(R, 5),(R, 6),(B, 1),(B, 2),(B, 3),(B, 4),(B, 5),(B, 6)}  \n2) The chess club must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday.  \n{Tuesday, Wednesday, Thursday}  \n4) When a button is pressed, a computer program outputs a random odd number greater than 1 and less than 9. You press the button twice.  \n{(3, 3),(3, 5),(3, 7),  \n(5, 3),(5, 5),(5, 7),  \n(7, 3),(7, 5),(7, 7)}  \n6) There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.  \n{(B₁, B₂),(B₁, G),  \n(B₂, B ₁),(B₂, G),  \n(G, B ₁),(G, B₂)}  \nFind the number of possible outcomes in the sample space.  \n7) A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.  \n􀀛  \n9) Eight rooms in a house need to be painted. Each room can be painted white or yellow.  \n􀀕􀀘􀀙  \n8) A spinner can land on either red, blue, or green. You spin twice.  \n􀀜  \n10) Six books need to be placed on a shelf. You randomly arrange the books on the shelf from left to right.  \n􀀚􀀕􀀓  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaig60PrmLXjQt","https://ap.wps.com/l/cbCaig60PrmLXjQt","pdf",40905,"English","# Represent the Sample Space using Set Notation\n## Count Possible Outcomes in the Sample Space","[{\"question\":\"What does the worksheet ask students to do with each scenario?\",\"answer\":\"For each situation, students represent the sample space using set notation and then use that set to find the number of possible outcomes.\"},{\"question\":\"How are schedules in the chess club problem represented?\",\"answer\":\"Possible outcomes combine the allowed days (Tuesday, Wednesday, Thursday) with the allowed times (3, 4, or 5 p.m.) to form ordered pairs in the sample space.\"},{\"question\":\"How are multiple actions combined in the sample space?\",\"answer\":\"When two actions occur (such as pressing a button twice or spinning twice), the outcomes are represented as combinations of the results from each action, forming ordered pairs in set notation.\"}]","Sample Spaces and The Counting Principle | PDF",1791426136]