Question

A cereal company is giving away

1 of 6 different prizes in each box of cereal.
Describe a simulation you could use to estimate
the number of boxes needed to get all 6 prizes.

Answer 1

Throw a die

Every number on the die represents one of the 6 prizes

The amount of times you throw the die describes the number of boxes you need.

Explanation:

Answer 2

Here we assume that each prize has the same probability to be in a box.

You can model this with a 6 side dice.

Assign each number of the dice to one different prize, then roll the dice and record the number, each roll corresponds to one box of cereal, and the number means that you get that price. When the 6 different numbers in the dice showed up, means that you got all the prices. Now, the total number of rolls that you needed to get the 6 numbers will be equivalent to the number of boxes that you need to buy in order to get the 6 prizes.