8 Chapter 1: Probability What's in the Bag? OBJECTIVES: Determine theoretical and experimental probabilities. Random sampling and probabilities will be used to make predictions. MATERIALS: Five blue squares, five green squares, five yellow squares, and one paper bag, Use the colored square cutouts in the Appendix if you do not have any manipulatives to use for this activity, INSTRUCTIONS: 1. Read the directions given in each problem. 2. Make sure to place the exact number of squares mentioned. 1. A paper bag contains five blue squares, three yellow squares, and two green squares. If one square is drawn at random from the bag. what is the theoretical probability of each event below? a. A blue square is drawn. b. A green square is drawn. C. A red square is drawn. d. A yellow square is drawn. e. A blue or yellow square is drawn. f. The square drawn is not yellow. 2. a. Plot the probabilities obtained from Question 1 on the following number line. 0 |0.25 10.5 0.75 b. For each event, select the phrase that most accurately describes the chance of it occurring: No chance, nearly impossible, some chance, an even chance, likely, nearly certain, or certain. A blue square is drawn. A green square is drawn. A red square is drawn. A yellow square is drawn. A blue or yellow square is drawn. The square drawn is not yellow. 3. How many green squares must be added to the bag in Question 1 so that the P(green) = 0.5? Explain how you obtained your answer. 4. Simulate the experiment in Question 1. Put 5 blue squares, 2 green squares, and 3 yellow squares in a paper bag. Shake the bag and draw 1 square. Record the color on a tally sheet below and put the square back in the bag. Repeat the experiment until you have completed 30 trials. Green squares Blue squares Yellow squares Escobar, Leticia Mathematics Activity Book II: Learning and Teaching