Question

Mohamed wonders how many boxes he should expect to buy to get all 333 prizes. He carried out 242424 trials of a simulation and his results are shown below. Each dot represents how many boxes it took to get all 333 prizes in that trial.

Answer 1

0.625

Step-by-step explanation:

The question is incomplete. The complete question has been attached to the solution.

The prizes are even distributed, so the probability of winning any prize = 1/3

We are asked to find probability that it takes more than 3boxes to get the three prizes = Pr(more than 3boxes)

Total number of trials =24

From the simulation, the purchase of more than 3 boxes to get all the 3 prizes = addition of the number of dots after the 3rd number of box purchased on the horizontal axis.

=(3+4+4+1+2+1) = 15

Since it took more than 3boxes, we have 15 out of the 24 simulation trials.

Pr(more than 3boxes) = 15/24

Pr(more than 3boxes) = 5/8

= 0.625