A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/3.
Adam wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 32 trials of a
simulation and his results are shown below. Each dot represents how many boxes it took to get all 3 prizes in
that trial.
3 4
5
6 7 8 9 10 11 12 13
# of boxes purchased
Te
Use his results to estimate the probability that it takes 9 or more boxes to get all 3 prizes.
Give answer as either a fraction or a decimal.
P(9 or more boxes)