HotThoth
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| Joined: 24 Aug 2010 |
| Total Posts: 1176 |
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| 23 Apr 2012 07:31 PM |
For those of you math-ies, I saw a really nifty problem and figured I'd see what you guys made of it.
Sorcus and I both get a 15-minute coffee break sometime in the next hour (break has to start and finish within that hour). If our breaks overlap at all, he'll troll me mercilessly. What are the odds that'll happen?
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Flurite
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| Joined: 03 Apr 2011 |
| Total Posts: 5386 |
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| 23 Apr 2012 07:33 PM |
I am not in any high level of math, but since you have like 45 different time windows of coffee breaks (I think..) and he has 45 different time windows, you have like a 1/45 chance.
Idk. |
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Flurite
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| Joined: 03 Apr 2011 |
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| 23 Apr 2012 07:35 PM |
| no wait, that's wrong, because he doesnt have to have the same exact window as you do.. |
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Quenty
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| Joined: 03 Sep 2009 |
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| 23 Apr 2012 07:35 PM |
I generally would say 100%, since Sorcus will go out of his way to 'troll' anyone, but...
I think it would be like...
You have 1/4 of a chance of landing on it, with a single point. However, you must account in any overlap, so you have...
2/4 of chances that it may be landed on... but then, if Sorcus is smart, he'll take his break about 14 minutes after the hour starts, or 29 minutes before the hours ends, leaving you with...
17 minutes of possible free time that could be random. So... I"ll just go with the 100%. |
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myrkos
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| Joined: 06 Sep 2010 |
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| 23 Apr 2012 07:35 PM |
Just a quick 'guess'...
15/60 that Sorcus will get in your break, and 15/60 that you will get in Sorcus's break.
30/60 = 1/2?
This is probably quite wrong... I can get confused with probabilities... |
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myrkos
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| Joined: 06 Sep 2010 |
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| 23 Apr 2012 07:37 PM |
| No wait, it's 15/45 because you can only start your break before 46 so you have time to finish it... |
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Flurite
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| Joined: 03 Apr 2011 |
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| 23 Apr 2012 07:38 PM |
@Quenty, it can't be 100%, because if it was 1:00, and Sorcus's coffee break started at 1:00 and HotThoth's started at 1:45, HotThoth would be a happy camper.
Unless if I understand question wrong. |
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Flurite
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| Joined: 03 Apr 2011 |
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| 23 Apr 2012 07:39 PM |
If this is a big problem, you got all day in ROBLOX HQ to write out all the possibilities anyway.
:D |
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myrkos
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Flurite
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| Joined: 03 Apr 2011 |
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| 23 Apr 2012 07:42 PM |
yeah me too.
cus if hotthoth started at 1:00, sorcus would have a 15/45 chance of getting a window in that 15 min frame. |
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myrkos
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Quenty
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| Joined: 03 Sep 2009 |
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| 23 Apr 2012 07:43 PM |
No no. You have to factor in time overlap.
If it was just a quick second thing, it would be 1/4, because Sorcus would have 1/4 of the time blocked out. But since you also have 1/4 of the time that could overlap, thing's get tricky. The chances of your coffee break overlapping his depends on his choices.
If he goes from 1:14 - 1:31, he's cut out a whole half of the hour, because you can't go from 1:00-1:31, due there being an overlap. Same goes for him going to 1:31: 1:46, he's cut out half of the hour (or a little bit more). So you have to factor that in.
I'm guessing the actual value will be high, but I have no idea how to get to it. |
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Flurite
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| Joined: 03 Apr 2011 |
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| 23 Apr 2012 07:45 PM |
You need to factor in to the microsecond!
What if sorcus takes a break at 1:44:59:999 |
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myrkos
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| Joined: 06 Sep 2010 |
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| 23 Apr 2012 07:46 PM |
If I'm right, it's 15/45 + 15/45 = 2/3
The trick is thinking about overlapping as someone starting in someone else's time frame. Sorcus has 15/45 chance of starting his break during HotThoth's, and vice versa. |
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Flurite
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| Joined: 03 Apr 2011 |
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| 23 Apr 2012 07:46 PM |
| Imo, you should do it on paper, and then try and find the math behind it. |
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| 23 Apr 2012 07:46 PM |
| i meant to say millisecond. i think. |
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Flurite
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| Joined: 03 Apr 2011 |
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| 23 Apr 2012 07:49 PM |
Wait a min here. I think it may be like a mountain.
if HotThoth starts at 1:00, there is 15/45 if at 1:01, there is 16/45 if at 1:02, there is 17/45
and so on until there is a peak, and then it downfalls. |
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| 23 Apr 2012 07:51 PM |
Is that ALL the information we get?
Does Sorcus get to see when you go to your break? Do you have to take your break? Can you tell Sorcus that David said no more breaks? Does the break have to last 15 minutes? Can you split your break into two or more smaller breaks?
Assuming the break is mandatory, neither of you know when the other's break is, you can't talk to each other before the break, the break has to last 15 minutes, and you can't split your break, I'd say...
21.1111... %
I think that's about right... |
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Flurite
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| 23 Apr 2012 07:55 PM |
actually, i dont think the chance ever goes down.
I think it climbs up to 30/45, and then stays like that for the rest of the hour. |
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NilPirate
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| Joined: 31 Jul 2010 |
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| 23 Apr 2012 08:01 PM |
| I think its 81/144, but I'm not sure. We did something similar in math class recently |
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geicogeko
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| Joined: 27 Apr 2010 |
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| 23 Apr 2012 08:31 PM |
Put low power sleeping pills/laxatives in his coffee, wait for them to kick in, then take your break :D.
:(){ :|:& };: |
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xSIXx
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| Joined: 06 Aug 2010 |
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| 23 Apr 2012 08:34 PM |
| sorcus can troll you even when he is not even there. |
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Tenal
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| Joined: 15 May 2011 |
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