Name: ___________________________________________________Period: _________Date:_______________ Spinners, Pennies and Dice, Oh My! For the following problems you and your partner must find the size of the sample space, the theoretical probability and the experimental probability (completing 10 trials) of each event. You will need to write each probability as a fraction, decimal, and a percent. You will both be completing 10 trials of each question. (Use another piece of paper to write down your trials) 1. Having the spinner land on red. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ 2. Flipping a penny and having it land tails up. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ 3. Having the spinner land on blue and rolling a 3 on the die. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ 4. Rolling a 2 on the die and flipping a heads on the penny. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ 5. Spinning a blue or red and rolling a number greater than 4. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ 6. Rolling a one and a number less than 4 on the number cubes. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ 7. Spinning a yellow, rolling a 5 and the penny landing tails up. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ 8. Spinning a yellow or red, rolling an even number and the penny landings heads up. Sample Size:____________ Theoretical Probability:_____________________ Your Experimental Probability: ______________________ Partner’s Experimental Probability:____________________ You and your partner must come up with two probability questions with at least 2 events for you both to complete. You must each give the sample space, the sample size, the theoretical probability, and complete 10 trials to find the experimental probability. Problems 1: _____________________________________________________________________________________ Sample Space: ___________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ Sample Size:____________ Your Experimental Probability: _____________ Theoretical Probability:__________________ Partner’s Experimental Probability:___________ Problem 2:______________________________________________________________________________________ Sample Space: ___________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ Sample Size:____________ Your Experimental Probability: _____________ Theoretical Probability:__________________ Partner’s Experimental Probability:___________ Reflection Questions: 1. What is the difference between theoretical probability and experimental probability? _______________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ 2. What do you notice about the theoretical probability and the experimental probability for each of the questions? _______________________________________________________________________________________________ _______________________________________________________________________________________________ 3. What do you notice about your experimental probability and your partner’s experimental probability? _________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ 4. Give an explanation for what you noticed in question 3. (Why do you think it happened that way?). _______________________________________________________________________________________________ _______________________________________________________________________________________________ 5. What is the difference between independent events and dependent events? ______________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ 6. Where the events in the activity independent, dependent or both? How do you know? ______________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ 7. What does it mean for an experiment to be fair? _____________________________________________________ _______________________________________________________________________________________________