Question

A cereal is promoting famous people to try to sell more of their product. One third of the cereal boxes
contained an action figure of Mike Trout, one third had a poster of Yasiel Puig, and one third had a singing to
the tune of New York, New York bobble head of Derek Jeter. Suppose you buy 5 boxes of cereal. Conduct a
simulation (do 10 runs) to estimate the probability that you end up with a complete set.

Answer 1

M : Mike Trout

Y : Yasiel Puig

D : Derek Jeter

result of simulation of 10 runs :

simulation no.	figure in 1st box	figure in 2nd box	figure in 3rd box
1	M	Y	M
2	M	M	Y
3	Y	Y	Y
4	D	M	D
5	Y	D	M
6	M	Y	Y
7	Y	D	D
8	D	D	M
9	D	M	Y
10	M	D	M

complete set : all three types of figures

estimate of probability that you end up with a complete set :

P(complete set) = (no. of complete sets in simulation) / (no. of simulation)

= 2 / 10

= 0.2

(please UPVOTE)