You and your spouse each take two gummy vitamins every day. You share a single bottle...

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You and your spouse each take two gummy vitamins every day. Youshare a single bottle of 60 vitamins, 30 of one flavor and 30 ofanother. You each prefer a different flavor, but it seems childishto fish out two of each type (but not to take gummy vitamins). Soyou just take the first four that fall out and then divide them upaccording to your preferences. For example, if there are two ofeach flavor, you and your spouse get the vitamins you prefer, butif three of your preferred flavor come out, you get two of the onesyou like and your spouse gets one of each. Of course, you start anew bottle every 15 days. On average, over a 15 day period, howmany of the vitamins you take are the flavor you prefer?

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3.9 Ratings (760 Votes)

For convinience we color code the two flavor vitamins as red R and blue B Lets start with the first day with 60 vitamins bottle The vitamins will come out according to the hypergeometric distribution It describes See Answer

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