roolstar

My reply comes a bit more than a year after the last reply. Well, better late than never I suppose

Totally agree with DeeGee here. If the first click STARTS the timer, Buzzy is the fastest clicker with 19 clicks in 20 seconds (19/20), followed by Emily with 9/10 then by Anthony with 4/5. To better illustrate we need to consider the time between clicks and not the number of clicks in a period of time. C = Click (no time) T = Time period For Anthony, he's clicking by following the series below C T C T C T C T C in 5 seconds 4T = 5 seconds => T = 1.25 Anthony will then complete 40 clicks in 39xT => 39x1.25 = 48.75 seconds Emily: C T C T C T C T C T C T C T C T C T C in 10 seconds 9T = 10 seconds => T = 1.11 seconds Emily will then complete 40 clicks in 39xT => 39x1.11 = 43.33 seconds Buzzy: C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C in 20 seconds 19T = 20 seconds => T = 1.05 seconds Buzzy will then complete 40 clicks in 39xT => 39x1.05 = 41.05 seconds (THE FIRST TO GET TO 40 CLICKS)

I tried this as a test!! I just threw the phone guide from the 3rd floor of my building and all 527 pages landed in a perfect pile!! Amazing, I wonder if people would actually pay money to see this incredible show! I think I can get a job as a university professor now easy

What a long (and complicated) thread to read... So here's my contribution to this subject. Going back to the original OP, the 2 players are masters of logic (and both love beer). They want to maximize the number of beers, they don't look to get more than each other. The word "sucker" will not affect their judgements either (emotional triggers do not affect masters of logic). In that case defecting would be stupid, illogical and an EMOTIONAL decision. That being said, Masters of logic would always cooperate. Defecting even once is an emotional decision Now I realize that, since this thread is taking so long, people are considering these masters of logic as regular people with feelings, who may seek EGO results and even vengeance. Well, in that case, NOTHING BIG really changes either. The only chance of defecting would be at the last round (unless these masters of logic are plain stupid). If that round is defined before hand, they may both defect or both cooperate that round and the total number of beers they accumulated will change by a maximum of 1 beer. Now if we don't take the "masters of logic" part literally, we will end up in what the humanity has been through since early history. And one of the 2 brothers will kill the second to maximize its winnings and wealth. We may even find a World War I or II scenario. In real life, this game will never end. People will end (being mortal), but the game won't, it will continue with our children and grand-children playing it. That is why now we know that our decisions are much more emotional than rational, and some people (egoistic, short-term people), may at some point choose to defect. I assume that this puzzle may have something to do with the situation the world is right now. And if you don't know what I'm talking about, just watch the news. I don't intend to discuss politics, I hate this subject (everybody assumes they are on the "right" side of the conflict). But in my opinion, the intention behind the United Nations was to provide an arena for this game to be played rationally. (My opinion about the UN set aside). Remember this: "We decide emotionally, then justify it rationally!" In 2 words, No one wil be sober after that game ends

Is the second condition (divisible by 9) needed in this case? It goes without saying, doesn't it?

I thought they arrested the murdereD as by the OP.

I hope I didn't make any mistakes rushing into this...

Rule #1: Never be the first to go for the average in your counter offer!!!! In the previous solutions, it was assumed that the seller would start by asking for $75 In my opinion, the seller being more professional and experienced would have waited untill Sean agreed on paying $75, then he would ask for the new average. superprismatic was right on both accounts I think.

This OP did produce a single solution! This made me think of a twist: Would we always have one single solution had K Sengupta chose any other triplet of 3 jobless candidates in that interiew? If not, what is(are) the triplet(s) that would give more than one possible solution in that case? Remember, the right sequence is fixed in the spoiler above The jobless candidates have 2 or less right answers I hope it's ok with K Sengupta that I posted this. I hope you find it interesting to prove/disprove. At least, it was for me!

I've been sitting here reading all these posts about ogre being stupid and I've had it! I think you all owe my wife an apology! In her own words: "Omf kuf tuug gsut gout!" You guys should be ashamed of yourselves.

I only have one issue with these solutions, Since there is no information about my rowing speed in the OP (usually much less then my running speed), the proposed solutions may leave me running in circles, never getting to shore!! A very tight giant spiral will be my final trajectory. In fact, there must be some minimum rowing speed where I can reach the shore with the ogre at least a feet away from me, so that I can outrun it. This would make a nice puzzle!

I think I agree... And the Brain wins again... What a shocker!

I'm not sure why but... Although I learned not to use my instincts in probabilities. But this feels like the ultimate battle between Emotions & Machine (Computer code) And the winner is ... again.

What paradox?