Math puzzle: Ferrari
@ Out of the box
Nov 26 2009, 14:52 (UTC+0) | data writes: The goal of solving the puzzle is to win a shiny red Ferrari.
There are three doors, behind one door are the keys to the Ferrari, behind another door -- the Ferrari itself, behind another door -- a cat (all the objects are placed at random). Two players play together and the goal of the first is to find the Ferrari, the goal of the second is to find its keys.
At the beginning the second player stays away from the game room and only the first plays. The first player has two attempts to find the Ferrari: open one door, if there is no Ferrari, open another door. If he succeeds in finding the Ferrari the doors that he opened are closed and the second player enters. But now it is forbidden for the two players to exchange information in any way.
The second player must find the keys, also in two attempts. Only if they find both the Ferrari and the key the players will win the Ferrari, else they are presented a cat. Describe the best strategy you can find to win the Ferrari. ( The players can discuss the strategy only before the start of the game.)
NB: Give the associated probabilities of winning the Ferrari with your strategy.
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