Name: ______________________________________ 2nd review for Probability Unit Test 1) Circle all that represent a “Likely” event. A. You will roll an even number when rolling a six sided number cube once. B. You will go to the beach on a warm summer day. C. A balloon will pop if you poke it with a pin. D. The star basketball player will make his/her next free throw shot if they normally make 3 out of 4 of their shots. 7 2) The probability of picking a boy with brown hair in our class is P (boy with brown hair)28. What best describes this event. Impossible, Unlikely, As likely as not, Likely or Certain 3) Find the theoretical probability of the event, P (no more than 3), when rolling a six sided number cube. 4) The sample space shows the possible outcomes of spinning two spinners labeled red, green, blue, and yellow at the same time. Sample Space Find P (of at least one Yellow) (R,R) (G,R) (B,R) (Y,R) (R,G) (G,G) (B,G) (Y,G) (R,B) (G,B) (B,B) (Y,B) (R,Y) (G,Y) (B,Y) (Y,Y) Find the probability of getting landing on one green and one blue. Order does not matter. 5) The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City A or City C. 6) In a small town, 80% of people drive to work. Find ways of assigning numbers to outcomes you can use to simulate the probability that someone chosen at random drives to work. 7) The random numbers below represent 20 trials for a simulation where three people were asked if they liked dogs. Let the numbers 0 to 5 represent liking dogs and 6 to 9 dislike dogs. Use the simulation to estimate the probability that two out of three people like dogs. The experimental probability that two out of three people like dogs is ______%. 8) Janet went to the movies with her friends. She wants to order one snack and one drink. In how many different ways can she order one snack and one drink that includes Peanut M & Ms? Make a list of the possible outcomes. Snack Small Popcorn Medium Popcorn Large Popcorn Sour Patch Kids Peanut M & Ms Snow Caps Twizzlers Drink Pepsi Mt. Dew Dr. Pepper Small Icee Large Icee Water 9) A store there are three different types of shirts: long sleeves, short sleeves, no sleeves and four different colored pairs of jeans: blue, black, white, and brown. Use a tree diagram to display the possible outcomes of picking one pair of pants and one shirt. 10) There are six workers at a small store. One person is chosen at random to close the store each day. If there are 198 days, what is the total expected amount of days that Nadia and Shelia will expect to close the store? 11) The data from a simulation of the above situation is shown in the table below. The values represent the number of times each person closes the store. How do the results from the simulation for Nadia and Ryan compare to the amount of days they are expected to close? A. The simulation results are lower than the expected. B. The simulation results are the same as the expected. C. The simulation results are greater than the expected. 12) What is the difference between an independent compound event and a dependent compound event? Give an example of each. Independent: Dependent: 13) Write a possible outcome for spinning a spinner with 4 equal sections labeled: Red, Blue, Green, and Yellow; 4 times. 14) The table shows the results of spinning a spinner once and tossing a coin 42 times. What is the theoretical probability of spinning a prime number and tossing a tail? What is the experimental probability of spinning a prime number and tossing a tail? 15) A boy wins a carnival game 33% of the time. He uses random numbers form 0 to 9 to simulate playing the game. The numbers 0 – 5 represent winning and numbers 6 – 9 represent losing. The list of random numbers below simulate playing a carnival game three times in 10 days. Is he likely to win or lose a game? Organize the data mathematically to support your answer.