IM 11 Ch 19 Test Review

  1. List the sample space for spinning the spinner.
  1. Suppose you spin the spinner above one time. Construct a probability model.
  1. Is the model uniform or non-uniform probability. Justify your answer.
  1. Define the word compliment of an event. Give an example of an event and its compliment.
  1. The menu for a restaurant lists 3 types of soup, 5 types of sandwiches, and 4 types of salads.
  1. Use the counting principle to calculate the size of the sample space.
  1. Do the outcomes of each action form disjoint or intersecting sets? Justify your answer.
  1. Are the events independent or dependent? Justify your answer.
  1. A fair 6-sided cube has a different color on each side—red, blue, green, orange, purple, and yellow. Evan rolls the cube 3 times.
  1. Use the counting principle to calculate the size of the sample space.
  1. Do the outcomes of each action form disjoint or intersecting sets? Justify your answer.
  1. Are the events independent or dependent? Justify your answer.
  1. You have 6 paintings that you want to line up on a wall.
  1. Use the counting principle to calculate the size of the sample space.
  1. Do the outcomes of each action form disjoint or intersecting sets? Justify your answer.
  1. Are the events independent or dependent? Justify your answer.
  1. Give an example of two events that are independent. Explain why the events are independent.
  1. Give an example of two events that are dependent. Explain why the events are dependent.
  1. You randomly choose a block from each group.
  1. What is the probability of choosing a block with the letter Z and a block with the letter N?
  1. What is the probability of choosing a block with the letter Z or a block with the letter N?
  1. A. You choose 4 discs from the set without replacement. What is the probability of choosing an A first, a B second, a C third, AND a D fourth?

B. You choose two discs from the set without replacement. What is the probability of choosing an A first OR a B second?

  1. A box contains 22 red markers 14 green markers and 14 blue markers.
  1. What is the theoretical probability of drawing a red marker from the box?
  1. You randomly draw out 10 markers and 3 of them are red. What is the experimental probability of drawing a red marker from the box?
  1. Describe the relationship between the theoretical and experimental probability of an event.