Five different CD-ROM games, Garble, Trapster, Zoom!, Bungie & blast'Em, are offered as a promotion by sugarush cereals. One game is randomly included With each box of cereal. a) determine the...

Five different CD-ROM games, Garble, Trapster, Zoom!, Bungie & blast'Em, are offered as a promotion by sugarush cereals. One game is randomly included

With each box of cereal.

a) determine the pobability of getting all 5 games if 12 boxes are purchased.

b) explain the steps in your solutions.

c) discuss any assumptions that you make in your analysis

 

Expert Answers info

tiburtius eNotes educator | Certified Educator

calendarEducator since 2012

write609 answers

starTop subjects are Math, Science, and History

First let's assume that all the games are uniformly distributed i.e. any game is equaly likely to be found in a random box of cereal. That means that probability of getting any of the five games in a randomly selected box is `p=1/5` (because there are 5 games). 

Since probability that a game is in a random box is `p=1/5` then probability that game is not in a random box is `q=1-1/5=4/5`. Now since our choosing of boxes is mutally independent probability that a game is not found in any of 12 boxes is `(4/5)^12 approx 0.0687` which means that probability of getting all 5 games from 12 boxes is approximately `1-0.0687=0,9313`.

check Approved by eNotes Editorial

Unlock This Answer Now