From the monthly archives:

**April 2012**## Dice game – 7 or 12?

*By admin On April 8, 2012 · 5 Comments*

Two people, ‘A’ and ‘B’ play a game of dice. 2 dices are continuously being thrown on the table. ‘A’ wins if 12 shows up, ‘B’ wins if two 7′s come up in consecutive throws. Game ends whenever there is a winner. What is the probability that ‘A’ wins?

## Find the subsets

*By admin On April 6, 2012 · 2 Comments*

You are given a set of ‘n’ unique numbers. What is the maximum number of subsets that you can form such that if any two random subsets is chosen, they have exactly one element in common?

Every person in this world (assume 7 billion people) has a fair coin except one. One person has a coin which has heads on both sides. A random person is chosen who flips his/her coin 100 times. If it comes out to be heads each time, what is the probability that the person has a fair coin?