Practice Problems for Standard SP.08c 1. A teacher has a prize jar on her desk. It has left in it a Snickers bar, 3 Hershey’s bars, and 2 Heath Bars. a. Create a simulation for randomly selecting a Snicker’s bar. b. Create a simulation for randomly selecting a Snicker’s and then a Heath bar. c. Create a simulation for a Snickers being randomly selected if there was also a Krackle in the jar. 2. At the charity 5K run held last Saturday, 120 people participated. a. Give a simulation which would represent Mary coming in first and John coming in second. b. Using the same scenario, how would the simulation change to represent Mary coming in first, John second, and Elizabeth coming in third? c. How would the simulation change if there were 100 runners with Mary coming in first and John coming in second? 3. A basketball player makes free throws 1 out of every 4 times he is at the foul line. a. Create a simulation to represent a basketball player hitting free throws on his first 2 times at the line in every game. b. Change the simulation to represent the player making 1 out of every 8 times he is at the line where he still hits on his first two times at the line in every game. c. Change the simulation to represent making it on his first 3 times at the line in every game if he hits 1 out of every 4 times he is at the foul line. 4. For class elections, the 7th grade class will elect 4 officers from the 100 students in the class. a. Create a simulation to represent Justin being president, Kayla vice President, Elizabeth secretary, and Chris treasurer. b. Create a simulation for the same 4 being elected from a class of 120. c. Create a simulation to represent out of 100 students 5 officers being chosen: Justin as President, Kayla as Vice President, Elizabeth as secretary, Chris as treasurer, and Samantha as historian. 5. A student fails 1 out of every 10 tests she takes. a. Create a simulation to represent her failing her first two tests every year. b. Create a simulation to represent her failing her first three tests every year. c. Create a simulation to represent her failing her first two tests every year if she fails 1 out of every 20 tests she takes. 6. In an aquarium there are 4 goldfish, 2 angelfish, and a catfish. a. Create a simulation to represent a cat randomly catching a goldfish. b. Create a simulation to represent a cat randomly catching a goldfish then a catfish. c. Create a simulation for a cat randomly catching an angelfish if there were also 6 neon fish in the tank. A. B. C. D. E. 7. Use the above spinners to answer each: a. Which of the above spinners could be used to simulate purchasing a box of cereal and getting 1 of 5 possible prizes, if each prize is equally likely? b. Which of the above spinners could be used to simulate purchasing a box of cereal and getting 1 of 4 possible prizes, if each prize is equally likely? c. Which of the above spinners could be used to simulate purchasing a box of cereal and getting 1 of 3 possible prizes, if one prize is twice as likely as the other two? d. Which of the above spinners could be used to simulate purchasing a box of cereal and getting 1 of 2 possible prizes, if each prize is equally likely?
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