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Good - it's settled. They're all correct.

Re: HSC 2015 4U Marathon Isn't this a 60s or 70s HSC question?

Re: 2015 permutation X2 marathon Hmmm .... I've HEARD of a Jacobian - I guess I learned it 30 years ago. For this particular question, do we really need calculus? I figured that θ didn't need to be modified - the points would already be evenly distributed around the circle. It should only...

Re: 2015 permutation X2 marathon A third possibility - and this connects with my second problem: Pick a point at random within the circle. Provided this point is not the centre, this point can be the midpoint of only one chord. If the points are chosen perfectly randomly inside the circle...

Re: 2015 permutation X2 marathon No takers? I'm happy for non 2015ers to join in.

He posted the same question in Ext 2

It's not really the same thing. It seems to be implying that every attempt to hit a target will succeed.

Confirming ... the answer IS 5/17.

Yep, its 12 hours

Could you post your questions on only one thread.

Is this question implying that you must hit one of the three targets?

You might want to fix up your k's and n's.

Which statement is incorrect?

It is a SHOW question for god sake. Why is everyone trying to solve? Just show by substitution. Solving this equation is not a 2 unit question.

Re: 2015 permutation X2 marathon "On a given circle, a chord is selected at random. What is the probability that the chord is longer than the radius?" Explain the ambiguity in this question. (This is my main point in asking this question) Remove the ambiguity, then answer your particular...

Re: HSC 2015 4U Marathon - Advanced Level Well ... if the Abrahamic god is there, it is either "false" or "random".

Re: HSC 2015 4U Marathon - Advanced Level They THINK - they don't talk about it.

Re: 2015 permutation X2 marathon I said "... shooting once at the shooter's choice of target." There was nothing to say the target had to be one of the other two men. It could be a bird in the tree, a particular blade of grass, ....... or the person who last challenged him on his wording in...

Re: 2015 permutation X2 marathon We are assuming they don't conspire just to survive. He is allowed to shoot wherever he wants - he can fire it into his mother-in-law as a bonus if he wants. But this gives him the greatest chance of surviving.

In that case, there is not enough to go on by ranks alone. I would only feel comfortable estimating for a school that typically gets at least a dozen E4s every year.