AIR MATH

Math Question

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 \( 1 / 4 \).
Vera wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 36 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.
# of boxes purchased
Use her results to estimate the probability that it takes 9 or fewer boxes to get all 4 prizes.
Give your answer as either a fraction or a decimal.
\( P(9 \) or fewer boxes \( ) \approx \)

Solution

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