Pizza Distribution Puzzle

Posted by faadoocoders at 9:46 AM Read our previous post

Pizza Distribution Puzzle

Source: xkcd wiki

Problem:

Parul  decided to play a game. To start, he selects 1 person. He then flips two  coins - if they both come up heads, the person gets a free pizza and the game finishes. Else, he sends the person home and selects 2 new people, where he does the same 2-coin flip to decide if they each get a pizza. If they don’t, he picks 4 people at random, then 8, and so on, doubling each round. If you are selected but don’t win, you can’t be selected again – and you can assume the population is extremely large so there’s no chance of running out of contestants.

You are sitting at home when you get a call – you have been selected to play the game. What is the chance that you will get a free pizza?

You don't know which round number it is, but if you ask, the king will tell you. Does it matter?

Disclaimer: Very easy problem!

Comment your answers.. :)