Question

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)

Answer 1

629

Explanation:

• 742⇒
  `\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] √(x) \sqrt[n]{x} \leq \pi \\ (x)/(y) x^(2) \lim_(n \to \infty) a_n \geq`699