Question: It turns out that the host has just eliminated your friend. What should you do? What are the probabilities of winning in each case?
Answer: Here I will NOT SWITCH. This is because a switcher in this game will loose if and only if either of the two initial choices of the two contestants was correct. P(switcher loosing)= 2/3
A sticker will win 2/3 of the cases. So stickers will win twice as often as switchers.
