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1. If you want to collect every figure, how many Happy Meals would you expect to

ID: 3326450 • Letter: 1

Question

1. If you want to collect every figure, how many Happy Meals would you expect to buy before you had one of each of the 8 figures? Assume that the probability for getting each figure is the same and that each figure is independent of the others. SHOW YOUR WORK Millions of children know that McDonanlds always includes a toy in its Happy Meal (it is what helps to make it a happy meall) Several years ago McDonalds gave away Rabbid figures with its Happy Meals There were 8 different figures 1. If you want to collect every figure, how many Happy Meals would you expect to buy before you had one of each of the 8 figures? Assume that the probability for getting each figure is the same and that each figure is independent of the others.

Explanation / Answer

Question 1. As there are 8 fighures so the probability of getting one of 8 fighures in first chance= 8/8

so now probability to pick one out of remaining seven out of 8 fighures in next chance= 7/8

so expected meals it will take = 8/7

so number of expected meals it will take to get each one of the 8 fighures

= 8/8 + 8/7 + 8/6 + 8/5 + 8/4 + 8/3 + 8/2 + 8/1 = 21.743

2. Yes, it is a good marketing strategy to lure child custromers as it will take around 22 happy meals to collect the pack of 8 figures. SO, that would be benficial for the company to promote their happy meals among children.