A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 4. Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in that trial.

Question

Mathematics

Clarence

30 January, 11:31

A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 4. Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in that trial.

+1

Answers (2)

Know the Answer?

Eduardo · Answer 1

Answer: The answer is 0.3

Malachi Sexton · Answer 2

Answer: 0.3

Step-by-step explanation:

Because it took fewer than 7 boxes only 6 of the 20 simulated trials

P (fewer than 7 boxes) = 6/20 = 3/10 = 0.3