Solution to Question 2:
Drawer with Socks
It is dark in my bedroom and I want to get two socks of the same color from my drawer,
which contains 24 red and 24 blue socks.
How many socks do I have to take from the drawer to
get at least two socks of the same color?
Drawer with Socks
It is dark in my bedroom and I want to get two socks of the same color from my drawer,
which contains 24 red and 24 blue socks.
How many socks do I have to take from the drawer to
get at least two socks of the same color?
The Solution
3
3
An Explanation
It is clear that taking zero, one, or two socks is not sufficient. However, if you take three socks, then either the first and second sock you take have the same color, or the third sock you take from the drawer has the same color as one of the previous two.
Question 3: Knights, Knaves and Normals
Imagine you are on an island called Texel, with inhabitants that look the same from the outside, but differ in their truthfulness. We distinguish the following types:
- Knights, who always tell the truth.
- Knaves, who never tell the truth.
- Normals, who sometimes tell the truth and sometimes lie.
Assume you meet one of these inhabitants, and he tells you: "I'm no Knight". Then, of what type is inhabitant?
KnightKnave
Normal
Indeterminable
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