Some tricky questions that I were doing yesterday.
1. Let's say on Earth there are 3 billion couples. Now God is bored, he reassign wife randomly to husband. What is the probability that all the new couples weren't couple before.
2. There are 8 red socks, 11 blue socks that are otherwise identical in a dark room. How many socks does Derpina need to take out, to guarantee that she has one good pair to wear?
3. There is a park, with circle fence. John is in the center of the circle. A dog can run around the fence with 4x the speed of John (but restricted to running around the fence only). The dog would kill John if it catches him. How can John escape?
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