A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the

probability of winning any given prize is always 1/3

Mohamed wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 24 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.

3

4 5

6

7 8

9 10 11 12

# of boxes purchased

Use his results to estimate the probability that it takes more than 3 boxes to get all 3 prizes

Give your answer as either a fraction or a decimal

P(more than 3 boxes) C

0.625

Explanation:

The image below was not posted for the but is needed to anser the question.

Further Explanation:

Mohamed carried out 24 trials of a simulation

Therefore, Total frequencies = 24

To get number of frequency greater than 3 we have to use the result in the result in the graph to obtain the estimate. Look at the graph below, when you count the dots that are on number of boxes purchased greater than 3, you will get 15.

Therefore, Number of frequency greater than 3 = 15

P(more than 3 boxes) = 15/24 = 0.625

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!