Yoruichi-san

Look Ma, I can rhyme... ;P I get excited by the light, I jump from state to state, No one can be exactly like me, My brothers I do hate, If when I turn one way you turn the other, You can be my mate, You can try to guess what I'll do next, But I don't believe in fate. Who am I? For those of you whom this is obvious, please wait a little while and give others a chance to guess. Thanks!

Haha, nice.

Okay, so I came up with this as a byproduct of a failed attempt at another puzzle... Fill in the next two numbers: 111 2024 31 1320 1413 126 1422 315 1518 2325 Good luck!

I think I got it...the third one was throwing me off until I thought of n-parity... Nice sequence Data! I'm still working on the one in the newest post...

*Cough* *bump*

Gaaah, this is hard... Here's a question (fishing for a hint I guess ): Is this sequence self-contained or do you need some piece of outside information (like particular dates or, like, # of something in something else, etc)? Oh, and I don't know if this means anything, but:

Oh fine, do it the *easy* way... ;P

Err, my notation was off in my earlier post...sorry, it's been while since I took Probability Theory... Anyways, hopefully this will make things clearer: Okay, hmm...well I had hoped this would clarify the matter, but it may just make things more confusing...but I'm pretty sure the logic is correct. Oh well, thanks for the puzzle!

Yeah, I think Unreality is right about it not being a simple 1-(1/4)^n geometric series...the answer should be an infinite series of conditional probabilities. [spoiler='Conditional Probability ']Like, you can't just sum the P(ext), as you call them, of the ith generations. You need to sum the P(exti)P(survi-1), where P(survi-1) is the probability of survival to the i-1 th generation. Put in less mathematical terms, it means you need to weigh the probability of extinction of that generation with the probability that the amoeba will actually survive to that generation. So it should be something like P(survival to infinity) = 1-sum(P(exti)P(survi-1)), and in the P(survi-1), you need to take into account the different cases where 1 out of 2 survives or both survive... I haven't done the math yet, but it wouldn't surprise me it that series came out to sum to 2/3 as well...once I have time, I'll try to figure out the exact mathematical exp​ression for the series

No, Starfish is correct (nice job, btw!). You don't need to know speeds. The way I look at this problem is in terms of time-distances (such as light-years), and then all you need are times. Thanks guys!

Thanks to my friend who I stole this from...(oh well, he will never know ;P) A commutator commutes to his group at work and back to his community locomotive station daily, arriving at 18:23. His conjugate drives from home to pick him up. Like all conjugates, they are very precise, and arrive precisely as the train arrives. One day, the commutator arrives at 16:23 due to an early release day. Since he did not want to interrupt his conjugate's train of thought, he simply started walking home along the route that which they traverse daily. The conjugate pairs meet along the path, and immediately head back home. They arrive home 23 minutes earlier than usual. How many minutes did the commutator walk before he was picked up by his conjugate?

Yeah, that was pretty much the same thing I said, but you said it much more concisely and to the point ;-). Thanks! Btw...is the person who started the thread checking it?

Yep, basically between all of you, I think you got it...

Not yet...but getting closer

Okay, the first thing I did after registering in this forum was to read the Important:READ BEFORE POSTING, and I did do a search, but I know I'm not good at searching for variations, but I don't think this hasn't been posted yet... Afanti is eating watermelon with the King and some courtiers. Among the courtiers is a Duke who is jealous of Afanti's favor with the King and therefore is constantly trying to embarrass Afanti in front of the king. So after eating his slices of watermelon, the Duke covertly pushed his watermelon rinds in front of Afanti. After they are done eating, the Duke points at Afanti's pile of watermelon rinds (which is twice as large as the other guests' piles) and gleefully proclaims "Look at how much Afanti has eaten. He is such a pig!" Afanti looks at the Duke and calmly gives his reply. The Duke becomes red-faced and is embarrassed in front of the King. Score another one to Afanti! What was Afanti's reply?

Okay, this is a totally awesome forum! Here is one of my favorite brain teasers that I got from a friend a couple years ago (and probably the reason I don't like soup...): A man walks by a restaurant and sees penguin soup on the menu. He goes into the restaurant and orders penguin soup. The waiter brings him the soup, he eats/drinks it, pays the bill and leaves the restaurant. He promptly goes home and shoots himself. Why? Enjoy! ;P