The Grey Cells - Exercise !

Oh man, that was hard work! Thanks again.

First I had it completley wrong, then I came up with a vocal accent (that can actually work) and eventually it came down to this.

Give me a few days. I'll look into a few mind teasers and see what I could come up with.

I'll take that point after a few hits and misses!

Before I dig up some teasers at home later, maybe someone could start up a new one.

Northman and company,

I got one for you all. It's not as good as the POW camp thing but let's give it a go anyway.


Sir Daggers, The Archer, and Mister Musket are in a deadly shoot out to the end. They each take turns firing at each other until only one person is left. Sir Daggers, who hits his target 1/3 of the time, gets to go first. The Archer, who hits his shot 2/3 of the time, gets to shoot next, assuming he is still alive. Mr. Musket, who hits his shot all the time, shoots next, assuming he is still alive too. The cycle repeats. If you are Sir Daggers, where should you aim first for the highest chance of survival?



    
    
    

Edited by Seko - 31-Aug-2006 at 09:16

Just saw this post. How's it going Northman?

Take one shot in turns, starting with the poorest shooter.

You have a strategy. Keep going.

I need to commend you on this chart. I looked it over during lunch. You seemed to have covered all of the possibilities.


Certainly taking the first shot at either one has it's consequences.

Probability asides, when Sir Daggers misses on his first turn a varied chain of events unfold. 10/27 success by shooting at the Archer first and 5/27 if he tries to hit Mister Musket first.

!!!CONGRATULATIONS!!!

Since all we are looking for is the highest chance of survival, Sir Daggers missing leads to The Archer having his shot. He could choose Sir Daggers or Mister Musket as his target. He (probably) would shoot at the one who would kill him the easiest given the chance and that is Mister Musket. If he missed then Mister Musket takes his turn and goes after the best marksman. So he shoots at The Archer and kills him. This leaves a chance and imminent final turn for Sir Daggers to have a go at winning. In effect it was best that he let the other two go at it first and take his chances at the end.








    
    

Edited by Seko - 01-Sep-2006 at 13:30

Ok - I'll put my thinking cap on, but anyone can jump in if they have a good one.

The Yeti gave him a chance to go free, if he could chose correctly 2 times, under certain conditions.

He was presented two doors and was told, that there was any combination of a Tiger and a Lady Penguin behind the doors. There could be Tigers or Lady Penguins behind both doors. On the other hand it was also possible, that there was a Tiger behind one door and a Lady Penguin behind the other.

There was a sign on each door:
DOOR I read:
IN THIS ROOM IS A LADY PENGUIN, AND IN THE OTHER ROOM IS A TIGER.
DOOR II read:
IN ONE OF THESE ROOMS IS A LADY PENGUIN AND IN ONE OF THESE ROOMS IS A TIGER

"Are these statements true?", Pingo asked the Yeti.
The reply was, "One is true, and one is false"

Which door would YOU chose, and why? (given the circumstance that you prefer Lady Penguins to tigers)
__________________________

Pingo made it, and got a new girlfriend, Penguina, and they fell madly in love.
But to save them both, Pingo had to solve the next trial as well. (Penguina couldnt help, she was a blonde)

The Yeti lead them to two new doors, and these doors also had a sign each.
DOOR I read:
THERE IS A LADY PENGUIN IN ONE OR BOTH OF THESE ROOMS
DOOR II read:
THERE IS A TIGER IN THE OTHER ROOM

Pingo asked again, whether the statements were true.
"Both are true - or both are false" the Yeti said.

Again - which door would you chose, and why?
____________________________

Please answer by PM - but post here when you do so.

Seko is almost half way - is he the only logical thinker here?  

Originally posted by Giannis Well, I give it a try also, please inform me if I was wrong or right.

Originally posted by Omar al Hashim I think I've got it. PMing you.