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Re: HSC 2016 4U Marathon - Advanced Level Wouldn't it just be 1/4 chance that day 1 is the hottest (we have no information on any other days yet), so 3/4 chance that it isn't? I understand how you got that probability though and now I'm kinda mind-fucked.

Re: HSC 2016 4U Marathon - Advanced Level Your logic is right, but the probability is wrong I think.

That's the point, most of the comprehensive sit outside the top 100 whilst most of the selective sit within the top 100.

Conservatorium High School is selective btw. So there's 9 comprehensive schools in the top 100, with like 500+ not in the top 100. Pretty sure that shows how true the generalisation is.

Re: HSC 2016 4U Marathon - Advanced Level Yep. I guess you can have a max/min temperature and it won't make a difference I think. I'm not too experienced with distributions, it's more so just from an equally as likely to be higher/lower than the previous day perspective I'm looking for.

Re: HSC 2016 4U Marathon - Advanced Level Pretty much this. Forget about any physical restrictions on max/min temperatures though. Think of it as say a God just choosing the temperature to be whatever the first number that comes to his mind is (so I guess it would be uniformally distributed).

Re: HSC 2016 4U Marathon - Advanced Level Suppose that it is Easter weekend coming up, so that Friday and Monday are both public holidays (i.e. 4 day weekend). John wants to go to the beach on exactly one day of the long weekend (so Friday, Saturday, Sunday, Monday). However he wants to go on...

You realise the fact that they are ranked from 100 onwards actually kinda proves flop's generalisation is correct? It's pretty much right by definition. Low ranked schools aren't as good as high ranked schools, otherwise they'd be high ranked schools too.

tan? lol

Internals + Externals.

How can 100% not align to 100? And they don't separate state ranks by looking at working.

I would have thought that was the approach they were looking for though. It might not be completely rigorous but it is the HSC and they aren't always frantic about those things. Curious to see if they would accept this solution.

The problem with that logic is ALL the columns now have infinitely many squares, not just one. Yes there are an infinite amount of squares in one column that the black counter can be put in, but there is also a infinite amount of squares NOT in that column. The logic breaks down when you are...

The answer to the question is \frac{q!}{q^q} Since there are infinite spaces in each column, you can treat each column as a number (say 1, 2, ... , q). The question is equivalent to "if I have a bag with the numbers 1 up to q in it, and I pick out q numbers with replacement, what is the...

lol his answer to 16)a)iii) is so terribly wrong

Why guaranteed? This happens every year. My year like 8 nsb's claimed 100 and only one state ranked with like 96 raw or something. Don't underestimate HSC marking at all.

Probably only 1/3 if you got (-1)^n but you never know.

And last year was easier tbh.

The band 6 cut off is usually like 64, the exam wasn't THAT much easier lol. 70 raw will defs get you a band 6.

Multiply the cubic by x, then sub in alpha/beta/gamma and add the 3 equations together, and done.