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Name: ________________________ Chapter 5 – Probability Math 7 Chapter Review Experimental and Theoretical Probability Probability = favorable # of outcomes of a particular event(s) total # of possible outcomes Remember To Always Reduce Fractions To Lowest Terms! 1) Sam likes to play hockey and is working on this penalty shots. a. What is the theoretical probability that he will make a penalty shot? b. In practice, Sam made 19 out of 25 penalty shots. What is the experimental probability that he will make a penalty shot? c. What is the experimental probability that he will miss? d. If Sam continues practicing and makes a total of 100 practice shots, how many shots would you expect him to make? 2) A bag contains 7 yellow, 3 green, and 4 blue marbles. One marble is chosen and then replaced. Give the probability of each event. a. P(yellow) _______ c. P(green or blue) _______ b. P(purple) _______ d. P(not green) _______ 3) A spinner is divided into five equal sections. a. What is the theoretical probability of landing on blue? b. The spinner is spun 45 times and lands on blue 3 times. How does this compare to the theoretical probability of spinning blue? *HINT: Did blue happen more or less than expected? 4) A recent survey was taken to ask people their favorite television station. Use the chart below to answer the following questions: Favorite Television Station ABC FOX MTV ESPN WB-11 Number of Respondents 22 16 45 32 10 a) What is the theoretical probability that an individual’s favorite station is FOX? b) What is the experimental probability that an individual’s favorite station is ABC? c) What is the experimental probability that an individual’s favorite station is MTV or WB-11? Experimental Probability and Making Predictions Find the experimental probability Set up a proportion to figure out the prediction Solve Label your answer 5) When 100 children were questioned about their reading habits, 71 said they read at bedtime. If 700 children were questioned, about how many of them would you expect to read at bedtime? 6) There are 100 kindergarteners in a school. If 3 out of 5 kindergarteners can tie their shoes, how many kindergarteners can tie their shoes? Tree Diagrams and The Counting Principle 7) The employee cafeteria at a certain company offers a choice of the following cookies with ice cream for dessert. Cookie peanut butter chocolate chip oatmeal raisin a. Make a b. Scoop of Ice Cream vanilla strawberry mint chip rocky road tree diagram and list the possible dessert, you may abbreviate. If the cafeteria adds a sugar cookie to the cookie choices, how many possible combinations will there be? 8) Use the counting principle to find the number of outcomes in each situation: a. Books: 3 authors, 2 books by each author b. Shirts: 4 styles, 2 sizes, 13 colors in each style c. Bookcases: 20 widths, 3 heights, 5 kinds of wood d. A pet store sells 3 breeds of dog, each breed in four colors. How many different dogs do they sell? Probability: Independent and Dependent events Probability = 9) favorable # of outcomes of a particular event(s) total # of possible outcomes A coin and a number cube are tossed. a. What is the probability of the coin landing on tails and the cube being a five? b. P(Heads and a number divisible by 3) c. P(Heads and an even number) d. What is the probability of the coin landing on tails and the cube NOT being a four? 10) Sally spins the spinner twice. What is the probability that it will land on RED both times? 11) A bag contains 12 marbles: 2 blue, 4 red, 5 orange and 1 white. You choose two in a row without replacement. Find: a. P(blue then red) b. P(orange then white) c. P(orange then orange) d. P(blue then red then white) 12) A drawer contains 6 socks: 2 blue and 4 red. Johnny is getting ready for crazy sock day at school and he chooses one sock at random, does not replace it, and then selects another sock. What is the probability that he will choose a blue sock and then a red sock?