Question

There are 5 bags, each containing 15 chocolate bars. One has all Snickers, one has all Kitkats, one has all Diary Milks. The other two has 5 each of them. What's the minimum number of chocolate bars you have to pull from the bags to confirm the contents of atleast one bag?

Answer 1

The minimum number of chocolate bars to confirm the contents of at least one bag is 5.

Identify the Bags with Unique Contents:

Bag 1: All Snickers

Bag 2: All Kitkats

Bag 3: All Diary Milks

Determine the Bags with Mixed Contents:

Bags 4 and 5 each have a mix of Snickers, Kitkats, and Diary Milks (5 each).

Now, let's consider the worst-case scenario for confirming the contents. To guarantee identification, you may need to pull chocolate bars from the bags in a way that ensures you get a representative sample of each type.

Worst-Case Scenario:

Pull 1 chocolate bar from Bag 1 (Snickers).

Pull 1 chocolate bar from Bag 2 (Kitkat).

Pull 1 chocolate bar from Bag 3 (Diary Milk).

Up to this point, you have not pulled any chocolate bars from Bags 4 and 5 (the ones with mixed contents).

Now, you may need to pull additional chocolate bars from Bags 4 and 5 to confirm their contents.

To Confirm Contents of Bags 4 and 5:

Pull an additional chocolate bar from Bag 4.

Pull an additional chocolate bar from Bag 5.

At this point, you have pulled a total of

1+1+1+1+1=5 chocolate bars.

Therefore, the minimum number of chocolate bars you need to pull to confirm the contents of at least one bag is 5, considering the worst-case scenario where you first identify the bags with unique contents and then confirm the mixed bags.