If there are ten blue socks, ten red socks and ten brown socks in a drawer in a dark room how many socks must be removed to ensure they contain: (a) a matching pair? (b) a blue pair?
(a) a matching pair: only If we pick 4 socks we can ensure that at least 1 of the 3 colors will repeat.
(b) a blue pair: Only if we pick 22 socks we can ensure that there is at least 1 pair of blue socks.
A man has 53 socks in his drawer. They are 21 identical blue, 15 identical black and 17 identical red. The light went off and he is in complete darkness. How many socks must he take out to be 100% certain that he has a pair of black socks?
It’s midnight and there is power failure. You have twenty two green socks and thirty five purple socks in your dresser drawer. How many socks do you have to take out to be sure of having a pair that matches.
There were 200 fishes in an aquarium, 99% of which were red. How many red fishes must be removed to make the percentage of red fishes 98%?
Cathy has twelve black socks and twelve white socks in her drawer.
In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair that match?
There are 4 black socks and 4 white socks in a drawer. Now you have to go out wearing your shoes. So how many minimum number of times you need to remove the sock from drawer so that you can go out?
