Mice Puzzle

 I saw this on a forum. Solution is amazing:

Here is the problem:

Problem. You have 2 mice, and 9 bottles, exactly one of which is poisoned. Each mouse can taste any combination of bottles at once, and if it is poisoned it will die after exactly one minute. Once a mouse is dead, it can't taste any more bottles. How many minutes do you need to determine exactly which bottle is poisoned?

 

 

Answer:

Here is how you could approach it(fill in the blanks):

In the first minute, give mouse A bottles 1, 2, and 3. Give mouse B 3, 4, and 5.

If both of them die, Bottle 3 has poison --> 1minute solution

If only A dies, give B a Bottle of 1 in the second minute. If B die, Bottle 1 has poison else Bottle 2 --> 2 minute solution.

If only B dies, give A Bottle 4 in the second minute. If A die, Bottle 4 has poison else Bottle 5 --> 2 minute solution.

If none die, give Bottles 6 and 7 to B AND Bottles 7 and 8 to A. If both die Bottle 7 has poison.--> 2 minute solution.

If only A dies, Bottle 8 has poinson.--> 2 minute solution.

If only B dies Bottle 6 has poison.--> 2 minute solution.

If none die Bottle 9 has poison--> 2 minute solution.

 So maximum 2 minute.