Student: Date: Probability: Determining Probabilities Using 1v'enn Diagrams Ms. Snow conducted a survey of her homeroom. She asked students what math course and what science course they were taking this semester. Below are the results. Students In Ms. Snow's Homeroom Algebra II 1. Analyze the data in the 'v'enn diagram and List five facts about Ms. Snow's homeroom. 2. If a student ls selected at random from Ms. Snow's homeroom. what is the probability that the student is taking Algebra II and Chemistry? Explain your reasoning. 3. If a student is selected at random from Ms. Snow's homeroom, what is the probability that the student is not taking Algebra II or Chemistry? Explain your reasoning. 4. Find the probability P{Algebra II or Chemistry]. Explain your reasoning. 5. Find the probability of a student taking Chemistry. given that the student is not taking Algebra II. or PiChemistryrnot taking Algebra Ill. 5tu dents survey 7'55 spectators at a national championship tennis match. The survey results indicate the following: o 421 are male, r 256 have a two-handed backhand swing, and - IFb of the people with a two-handed backhand swing are female. Draw a Venn diagram and label the data. s. 1llvhat is the probability that a person selected at random from the survey group is male? Explain your reasoning. i". What is the probability that a person selected at random from the survey group is female? Explain your reasoning. lCharles. A. Dana Cen'ler ill The University of Texas at Austlli Advanced Mathematical. Decision Mai-ting |2EIIC|| Activity sheet 'I. 2 pages 8. What is the probability that a person selected randomly from the survey group has a two- handed backhand swing? Explain your reasoning. 9. What is the probability that a person selected randomly from the survey group is a male or has a two-handed backhand swing? Explain your reasoning. 10. What is the probability that a person selected randomly from the survey group does not have a two-handed backhand swing, given that the person is male, or P(no two-handed backhand/male)