1. You are at a game show and there
are three closed doors. There is a prize hidden behind one
of the doors and the game show host knows where it is. You
are asked to choose a door. The game show host then opens
one of the other two doors showing that it is empty and
asks you if you would like to change your selection. Should
you stick to your original selection?
2. You are in a race and you overtake
the person who is in second place. What is your position
3. Six drinking glasses stand in a row,
with the first three full of juice and the next three empty.
By moving only one glass can you arrange them so empty and
full glasses alternate?
4. A man is asked what his daughters
look like. He answers, "They are all blondes, but two,
all brunettes, but two, and all redheads, but two."
How many daughters did he have?