There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equals wastage. You have two sacks one labelled Heads and other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sack.
How will you distribute the gems between the sacks so that the odds of picking a Blue gem is maximum ?
All you have to do is put a blue gem in any one of the sack and the other blue gems in the other sack. Doing this will provide you a shade under 3/4 probability of picking up a blue gem.