A random question

Here's a random puzzler.

Ok I just decided on 2. I have the solution to the first one (amoeba)

1) Our friend, Mr. Amoeba has 3/4 chance of reproducing into 2 offsprings, who are exactly like him, or he'll just die. What is the chance that he'll live forever if the first offspring of each amoeba takes 1 month to reproduce(or die) while the second takes 2 months? (provided global warming doesn't kill him like 20 years later)

2) Oh noes! J------Y has taken Y--a-'s waterbottle again. And this just to happen in the infinite maze of RI (a prison containing many captives who are never able to escape the infinite labyrinth). The design of RI is really simple (except for the bit about infinite looping and alternate universes). It consists of 4 exits at each intersection (N,E,S,W), and all passageways are of equal lengths. Now, J------Y takes 2 seconds to run each passageway, and Y--a- only takes 1, and J------Y looks like he is in deep trouble now, but... aha! a catch. J------Y has managed to keep Y--a- preoccupied with a Maths problem for a whole 4 seconds! To make it worse, Y--a- has myopia and can only see 1 passageway away. J------Y and Y--a- cant stop running: one fears for getting caught, one fears for losing his waterbottle for all eternity. What are the chances that Y--a- can catch J------Y and reclaim his waterbottle? (well... eventually)

bing promotion!

Here's another new chess that brings yet more power to the bings. A good bing could even be worth more than 2 rooks!

1) An n-powered bing has up to n moves in 1 turn.
2) All bings start out as 1-powered bings.
3) Once they reach the last rank of the board, they are promoted to the next rank of bings. Also, after promoting to the next rank, the bing can move back to its own end of the board to be repromoted into a bing of the next rank.
4) 2-powered bings can move in all 4 directions.
5) 3-powered bings can move in all 8 directions (including diagonals).
6) A bing may consume more than 1 piece a turn.

Happy pwning with bings.

Beat this!

Progressquest lvl 70!

Quick bings (of D00M!)

Rules:
1) Bings can move in any direction now, and have 2 steps each turn, which means they can step back and then left, and can hence kope 2 pieces in 1 turn!
2) Once a bing gets to check the opponent's king, it can spend the next turn promoting into a rookish bing, which can move like a rook, but has 2 moves each turn as well! (uhoh)
3) Bings can choose to move 1 step as well. Same goes for rookish bings.
4) Everything else as in Chinese chess.

Note: The bings are REALLY REALLY overpowered in this one.

A very simple Maths question (courtesy of SMO)

Note: Please do not post the solution here. Or practically anywhere, but well here it is.

if a1a2a3a4a5a6a7a8a9...an =1, and they are all positive, Poof

summation of (1/1+ai) where i ranges from 1 to n < n-1

.

Puzzle!:

###AK#R##
#P##A####
####M####
##PN##P##
#####R###

#######P#
P########
##NR#C##M
####P####
##P##K###

Hint: There is no one specific solution, but there exists at least one solution.

Unbanned from chess!

SYF is over!!! (yay!) but we got silver (aw...). Wait did we get gold? ( : )? ). It remains highly debatable, but yea officially silver : (!

But seriously, who reads blogs about SYF. Especially other people's SYFs?

So lets get down to other stuff.

I've really been meaning to post tons and tons of stuff, but I've forgotten all of them at the moment, so well I guess its for the oncoming posts then. But this post cannot be content free right?

So here's something!

Chemistry it is!

The reactivity series contains a set of metals arranged in order of reactivity. Reactivity is largely determined by the ability to lose electrons. The most reactive metal is on the top and the least at the bottom.

K
Na
Ca

Mg
Al
Zn
Fe
Sn
Pb
[H]
Cu

Hg
Ag
Au

Note that I separated them into three groups. If I am not wrong, the top group reacts with water, somewhere down it only can react with steam and the bottom few do not react at all! How cool!