Thursday 21 February 2013

Series - I

1, 4, 4, 8, 32, 40, 1280, ....

Theory of Countability

Consider a uniform distribution between 0 and 1. Let us randomly pick up a number between 0 and 1, say X
a) What is the probability that X = 0.5?
b) What is the probability that X is rational?
c) What is the probability that X is irrational?

Thursday 7 February 2013

Descending down a building

You need to descend down a 200m building but you only have a 150m long rope. There is a hinge present at  the top and also at the 100m level of the building. How will you descend down?