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M&M Compound Probability Prob & Stats Name: ______________________ I. Replacement: Without looking, reach into the bag and remove an M&M. Record it’s color ( Brown, Yellow, Red, Orange, Green, Blue) in the slot for trial 1. REPLACE the M&M and draw another, recording it’s color and replacing it. Repeat the process 15 times. Trial Color 1 Color 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1) Based on your results, calculate the following EXPERIMENTAL probabilities: ( CONSIDER THE FACT THAT YOU DREW 30 M&M’s!!) a. P(Br): __________ d. P(O): ___________ b. P(Y): __________ e. P(G): ___________ c. P(R) : __________ f. P(Bl) : _____________ 2) Based on your results, calculate the following EXPERIMENTAL probabilities: ( CONSIDER THE FACT THAT YOU PERFORMED 15 TRIALS!) a. P(O, Bl) = ___________ c. P(O, R) = _________ b. P(Br, Br) = ___________ d. P(Y, Y) = _________ e. Are these events independent? II. Without Replacement: Reach into the bag & remove an M&M. Record it’s color in the trial 1 column. Hold this M&M in your hand & draw a second; record it’s color in the trial 1 column. Now REPLACE BOTH M&M’s. Repeat 15 times. Trial 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Color 1 Color 2 3) Based on your results, calculate the following EXPERIMENTAL probabilities: ( CONSIDER THE FACT THAT YOU PERFORMED 15 TRIALS!) a. P(O, Bl) = ___________ c. P(O, R) = _________ b. P(Br, Br) = ___________ d. P(Y, Y) = ________ e. Are these events independent? Created By: J & J Productions III. Theoretical Probability: Now count the M&M’s from your bag and record the totals below. Brown Yellow Red Orange Green Blue TOTAL 4) Draw One: Use the table to calculate the following theoretical probabilities a. P(Br): __________ d. P(O): ___________ b. P(Y): __________ e. P(G): ___________ c. P(R) : __________ f. P(Bl) : _____________ ** Compare your answers to those in Question 1 5) Replacement: Use the above table to calculate the following theoretical probabilities when sampling occurs WITH REPLACEMENT a. P(O, Bl) = ___________ c. P(O, R) = _________ b. P(Br, Br) = ___________ d. P(Y, Y) = _________ ** Compare your answers to those in Question 2 6) Without Replacement: Use the above table to calculate the following theoretical probabilities when sampling occurs WITHOUT REPLACEMENT a. P(O, Bl) = ___________ c. P(O, R) = _________ b. P(Br, Br) = ___________ d. P(Y, Y) = _________ ** Compare your answers to those in Question 3 Created By: J & J Productions