Mathematics

Kyson Jenkins

23 October, 12:53

A cereal company is putting 1 of 3

box of cereal. The prizes are evenly distributed so the

probability of winning any given prize is always 1/3.

ness,

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.

200.000 t

00000 T

00+

4 5 6 7 8 9 10 11 12 13

# of boxes purchased

probability that it takes 9 or more boxes to get all 3 prizes.

Use his results to

Give your answer as

e of

P (9 or more boxes)