You play a game with a coin not necessarily fair. If you throw heads, you get 1 and
throw again. If you throw tails, you get nothing and the game ends. What is the average amount of
money that you will get from this game?
On a clear day, you are on an aeroplane which is at 38,000 ft above the middle of the
Pacific Ocean taking the radius of the Earth to be 6,400km, what is the approximate distance
between you and the horizon of the Earth? (1 ft = 0.3048m)