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