Name _______________________________________________ PreAlgebra Period _____________________________________ 1. Date _____________________ Activity 6.4 Count the number of each color of Smartie in your pack and record it in the table below. Pink Orange Yellow Green Purple White Total Candies 15 2. Ratios and Percents Review a. Write the ratio of purple Smarties to total Smarties ________________________________ b. Write the ratio of pink Smarties to orange Smarties ________________________________ c. Write the ratio of not green Smarties to total Smarties ________________________________ d. What percent of your Smarties are yellow? ________________________________ 3. Calculating Probability – Just use observations of your pack to help you answer this section. Do not actually pick. a. Find P(picking a purple Smartie from your pack) ________________________________ b. Find P(picking a pink Smartie from your pack) ________________________________ c. Find P(picking not green from your pack) ________________________________ Which of your answers to parts of question #3 are the same as your answers to parts of question #2? Why is this the case? ________________________________________________________________________________________________ ________________________________________________________________________________________________ 4. Calculating Odds - Just use observations of your pack to help you answer this section. Do not actually pick. a. Find the odds in favor of picking a purple Smartie ________________________________ b. Find the odds in favor of picking a pink Smartie ________________________________ c. Find the odds against picking a green Smartie ________________________________ Which of your answers to parts of question #4 are the same as your answers to parts of question #2? Why is this the case? ________________________________________________________________________________________________ ________________________________________________________________________________________________ 5. Put your Smarties in a paper bag and trade bags with your partner. Do not look in the bag as you complete the next task. One at a time, remove a Smartie from the bag, record its color in the table below, and then replace the Smartie. Repeat this process until you have picked and recorded colors 60 times. Pink 6. Orange Yellow Green Purple White Total Picks 60 Based on your results from #5, make a prediction about the number of each color candy that your partner originally had in his/her bag. Use probability calculations to support your predictions. Prediction of Each Color: Pink 7. Orange Yellow Green Purple White Total Candies 15 Some parts of questions 1-6 are based on theoretical probability and other parts are based on experimental probability. Explain which parts you think are which and why. (Some parts may not apply.) ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________