Considering the fact that you are only allotted one move, the best move is Bishop to F6 because it's the only one that gives you offensive momentum
i'll say full=f and empty=eHalf full=Half empty
Full=Empty
I want to say that they should all guess the same specific number, but that seems too obvious to be the answer. Forming a loophole around "cannot communicate" seems moot, and beyond that I'm completely stumped. They could all agree to guess a number that they don't see, but that's just flawed logichere's a new puzzle
6 people play a game. they each roll a standard die but don't look at it. then each player looks at each other player's die. then each players guesses the number on his own die. If at least one person guesses right the group wins. What is the group's best strategy assuming that they can formulate a strategy beforehand but cannot communicate after looking at the other's dice and must all guess simultaneously?
Just say the number in front of you, the most unrealistic case is that everyone has rolled different numbers and the chances of someone being right would be 5/6.6 people play a game. they each roll a standard die but don't look at it. then each player looks at each other player's die. then each players guesses the number on his own die. If at least one person guesses right the group wins. What is the group's best strategy assuming that they can formulate a strategy beforehand but cannot communicate after looking at the other's dice and must all guess simultaneously?
I agree with you here. In white's position you can't really afford to lose any more key pieces because you only have three left in the first place. I considered the option of taking the d5 pawn with the rook directly, but I fear it wouldn't yield great results and is easier to get out of for black. It's better than any other solution though, so I approve :)I actually think your answer was best, WB. The only other semi decent course of action is to take the d5 pawn with your rook. His queen gets enticed and you play a few checks. The only way he can get out is to move the king out from behind it's pawn wall. I didn't really play much past there because it starts getting a little complicated with the variety of different moves. However I think that the rook sacrifice may not work in your favour if there is a way for your opponent the relieve the pressure.
yes, and what I was saying was that you can't do that. The only way full=empty is if you have two containers.I want to say that they should all guess the same specific number, but that seems too obvious to be the answer. Forming a loophole around "cannot communicate" seems moot, and beyond that I'm completely stumped. They could all agree to guess a number that they don't see, but that's just flawed logic
And JimBob, you're overthinking it. What Sy123 was saying is:
Half = .5 Full = F Empty = E
.5F = .5E (Divide both sides by .5)
F = E
???Just say the number in front of you, the most unrealistic case is that everyone has rolled different numbers and the chances of someone being right would be 5/6.
Edit: The chance isn`t even 5/6 its way higher, but i had no sleep in the last 30 hours so i am not able to figure it out
you aren't allowed to see the number in front of you though, just the numbers in front of everyone else I thought
Each one says another number?if the players play correctly then they will win every single time.
do you mean that each person is assigned before the game starts one of the numbers 1-6 and they say that, if so that doesn't actually work any better than random guessing.Each one says another number?
Wait, if there are 6 people who each roll 1 die, and each person is assigned a number before the game, they will always get it because the number has to be 1-6 and the amount of people can cover every numberdo you mean that each person is assigned before the game starts one of the numbers 1-6 and they say that, if so that doesn't actually work any better than random guessing.
Okay then, how about this: "Find a perfect square which remains a perfect square when 5 is added or subtracted". *Give the solution in rational numbers. This problem actually has a nice history to it and is harder than it seems, I wonder if you can get it...I have a question. Why is OP getting away with giving his 1st year uni math's work to other people to do for him. I passed that subject. I don't want to have to do it again.
Of course, anything for you Lamprey ;) just give me time to prepare some more interesting stuff :PI managed to solve the first one on a piece of paper, only to discover many other posters have made me look like a cheat. It is 3/4, right? Can you post some more things, like riddles and such? Sideways thinking is much more fun than maths teasers. And I disagree with ILoveLisa, Maths as a subject can never be this interesting.