You are standing on the verge of making a fortune. You have fifty precious stones and fifty non-precious stones. You are provided with two bags labelled as Heads and Tails respectively. What you have to do is distribute the stones in these two bags. After that a coin will be flipped and what comes (heads or tails) will decide you will pick up a stone randomly from which bag.
How will you be distributing the stones so that you maximize the probability of picking up a precious stone? If you pick it, all precious stones will be yours.