Summer Puzzle

The Summer Puzzle is available at the URL linked here. Enjoy!

(1) Mallika is in Java but can't take her mind off football. She is trying to decide between three football teams to throw her support behind – the University of Oklahoma Sooners, the University of Texas Longhorns and the University of Nebraska Cornhuskers. All she has to help her is a fair coin, that is, with this coin, there is an equal probability that the coin will show up either heads or tails. Devise a way for her to choose one of the three teams with equal probability.

(2) It is the next day and Mallika realizes that she has misplaced her fair coin. She is now trying to decide between five IPL teams - the Chennai Super Kings, the Kolkata Knight Riders, the
Mumbai Indians, the Rajasthan Royals and the Delhi Daredevils. All she has to help her is a coin with unknown bias, that is, with this coin, there is a non-zero probability that the coin will show up either heads or tails but we don’t know what the probability of heads is. Devise a way for her to choose one of the five teams with equal probability.

Email your answers to : askthedelphicoracle AT gmail DOT com with the subject : "Summer Puzzle".