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Leaving Cert '11/'12 Off-Topic 2

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Comments

  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    finality wrote: »
    The algebra questions are the best thing ever. I can usually get them done in around 15 minutes each, giving me extra time for other questions :D

    I find the algebra questions one of the hardest parts of the course. :o


  • Registered Users, Registered Users 2 Posts: 8,572 ✭✭✭Canard


    I find everything in HL maths spectacularly difficult. :D


  • Registered Users, Registered Users 2 Posts: 715 ✭✭✭Wesc.


    finality wrote: »
    The algebra questions are the best thing ever. I can usually get them done in around 15 minutes each, giving me extra time for other questions :D

    Yeah I'm the same! Integration is a nice quick one also :D Knowing me I'll probably end up answering all the questions like my mock :rolleyes:


  • Registered Users, Registered Users 2 Posts: 405 ✭✭JonnyMcNamee


    Is it wrong to say that I actually like some of the Maths course now because I understand it? :pac: Yeah? Ok.. :o


  • Registered Users, Registered Users 2 Posts: 6,068 ✭✭✭LoonyLovegood


    I stayed over in my nanas last night so I could study without the internet...AND IT WORKED. Seriously, I need to get rid of the internet completely


  • Registered Users, Registered Users 2 Posts: 8,572 ✭✭✭Canard


    The internet is literally all that stands between each of us, and 625 points. :L


  • Registered Users, Registered Users 2 Posts: 405 ✭✭JonnyMcNamee


    Think I might fly on over to the Cuckoo's Nest for a little ban.. Otherwise I'll just end up spending the next whatever is left on this :pac:


  • Registered Users, Registered Users 2 Posts: 2,249 ✭✭✭Bears and Vodka


    Think I might fly on over to the Cuckoo's Nest for a little ban.. Otherwise I'll just end up spending the next whatever is left on this :pac:

    Sadly I think the ban only extends to the Cuckoo's Nest forum. PM a Mod and they'll sort ya out anyway :)


  • Closed Accounts Posts: 592 ✭✭✭fizzyorange


    I was wondering, is it just me or does the most ridic music increase productivity? All I've listened to today is Rhythm is a Dancer and the Macarena and I think this is the most productive day study wise I've had in months. :L


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  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    Can any mathsy person work out the probability of having at least 2 of your poets come up on the day if you study 5?

    I tried it and I got 93%, surely that's way off?!


  • Registered Users, Registered Users 2 Posts: 6,068 ✭✭✭LoonyLovegood


    Probability of two poets coming up is 25%, I think...That section of maths confuses me.


  • Registered Users, Registered Users 2 Posts: 8,572 ✭✭✭Canard


    Yeah, it seems simple but my brain imploded thinking about it. It might be a bernoulli trial but i really dont know :L


  • Registered Users, Registered Users 2 Posts: 715 ✭✭✭Wesc.


    Togepi wrote: »
    Can any mathsy person work out the probability of having at least 2 of your poets come up on the day if you study 5?

    I tried it and I got 93%, surely that's way off?!

    I got 35.7 % chance for getting 2... I could be wrong because probability is my most hated section!


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    CTYIgirl wrote: »
    Probability of two poets coming up is 25%, I think...That section of maths confuses me.

    Yeah but I'm looking for the possibility of two or more coming up so it's trickier.



    I tried getting the probability of 0 of them coming up and adding it to the probability of just 1 of them coming up, then I took that away from 1. I'm gonna try again though I think I can see one part where I went wrong. :cool:


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    I'm so confused. :pac:


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  • Registered Users, Registered Users 2 Posts: 1,073 ✭✭✭David1994


    Just back from work and I am completely wrecked.
    Chemistry questions and a Spanish essay to be done.. Lets get this party started!!


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    Okay I tried it again...

    Probability of just 1 of my 5 poets coming up is:

    1/8 x 7/8 x 7/8 x 7/8 x 7/8 = 0.07327

    Then I need to multiply that by 5 to take all 5 poets into account (I left this step out the first time):

    0.07327 x 5 = 0.36636

    (Add 0 which is the probability of none coming up.)

    Then take the answer away from 1:

    1 - 0.36636 = 0.63364

    = 63.4%

    = 63%

    That has to be right!! :P


  • Registered Users, Registered Users 2 Posts: 715 ✭✭✭Wesc.


    Togepi wrote: »
    I'm so confused. :pac:

    I did it like this:
    You want the probability of two coming up. So that's, one and another again. The probability of getting one is 5/8 and another one is 4/7.
    Since it's one and another you multiply them and that's how I got 35.7%.


  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    Don't fearses I haz de anser guyz.
    31.5%
    It's unlikely that only 2 would come up.
    Even more unlikely when you take away the maths and consider the trends.


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    Wesc. wrote: »
    I did it like this:
    You want the probability of two coming up. So that's, one and another again. The probability of getting one is 5/8 and another one is 4/7.
    Since it's one and another you multiply them and that's how I got 35.7%.

    Ah I was wondering how you got 35.7%, I forgot that the second one would be 4/7 not 5/8 again. I was looking for the probability of at least two though, so I had to do it the way I posted above. It seems to have worked out ok... :o


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  • Closed Accounts Posts: 151 ✭✭galwaymusic


    The change of mind is free right?? I've changed it around a bit twice since it opened a few days ago...it only crossed my mind now that I might be charged lol!


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    Eathrin wrote: »
    Don't fearses I haz de anser guyz.
    13.5%
    It's unlikely that only 2 would come up.
    Even more unlikely when you take away the maths and consider the trends.

    How did you get that?! :(

    And I'm taking 2 coming up as a fantastic scenario, I have 5 done and 4 of them are the 4 most unlikely ones to come up, so I'd be delighted with 2! :D


  • Registered Users Posts: 338 ✭✭deathbythelc


    And people say you never use Maths outside of school. :D :rolleyes:


  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    Togepi wrote: »
    How did you get that?! :(

    And I'm taking 2 coming up as a fantastic scenario, I have 5 done and 4 of them are the 4 most unlikely ones to come up, so I'd be delighted with 2! :D

    Sorry I corrected myself it's 31.5% I think.


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    Eathrin wrote: »
    Sorry I corrected myself it's 31.5% I think.

    Okay how did you get 31.5% then? :P Is my 63% completely off?


  • Registered Users, Registered Users 2 Posts: 715 ✭✭✭Wesc.


    Well if it's at least what I'd do is add up the probability of getting 2,3 or 4.
    So that's .357 + .1786 + .071 which is .607 or 60.7%

    That doesn't seem right either :o


  • Registered Users Posts: 2,576 ✭✭✭Coeurdepirate


    Haven't done a tap since Saturday afternoon.


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    Wesc. wrote: »
    Well if it's at least what I'd do is add up the probability of getting 2,3 or 4.
    So that's .357 + .1786 + .071 which is .607 or 60.7%

    That doesn't seem right either :o

    Yeah that's exactly what I was going to do, I just thought the '1 - the probability of 0 or 1 coming up' was easier.


  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    I misread, my probability was for exactly two.
    There's a 92% chance of at least two appearing.
    Edit: 98% chance, typo.


  • Closed Accounts Posts: 1,918 ✭✭✭Meowth


    Sitting in study kill me now :( why did I opt for this :(


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  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    Last time I'll correct myself, It's a 98% chance at least 2 will come up if you study 5.


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    Kinda hope that comes up as a Paper II question in June now. :pac:


  • Registered Users Posts: 2,576 ✭✭✭Coeurdepirate


    Sitting in study kill me now :( why did I opt for this :(

    What time is your study from on what days? Mine is from 6-10 on weekdays and 10-4 on Saturdays. so depressing


  • Registered Users, Registered Users 2 Posts: 1,763 ✭✭✭finality


    If you study 5 the probability of 1 coming up is 1- it's definite. The probability of another one coming up is 4/7. So you've got 1x4/7. That means there's a 57% chance you'll have a choice on the paper.


  • Closed Accounts Posts: 4,813 ✭✭✭Togepi


    finality wrote: »
    If you study 5 the probability of 1 coming up is 1- it's definite. The probability of another one coming up is 4/7. So you've got 1x4/7. That means there's a 57% chance you'll have a choice on the paper.

    Any idea what the probability of having either 2 or 3 or 4 of your 5 poets coming up is?


  • Registered Users, Registered Users 2 Posts: 1,763 ✭✭✭finality


    Togepi wrote: »
    Any idea what the probability of having either 2 or 3 or 4 of your 5 poets coming up is?

    I think Eathrin is right with 98%, that's what I'm getting too.

    edit: Aagh but it's so confusing


  • Registered Users, Registered Users 2 Posts: 3,989 ✭✭✭PictureFrame


    finality wrote: »
    I think Eathrin is right with 98%, that's what I'm getting too.

    edit: Aagh but it's so confusing
    How are you so good at Maths finality? Were you always good in like Primary School or whatever? I'd love an auld Mathsy brain. <3


  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    Okay I am 100% sure I have the answer now. No question.
    The probability of at least 2 poets coming up having studied 5 is exactly 92.86%.


  • Registered Users, Registered Users 2 Posts: 715 ✭✭✭Wesc.


    Eathrin wrote: »
    Okay I am 100% sure I have the answer now. No question.
    The probability of at least 2 poets coming up having studied 5 is exactly 92.86%.

    How'd you go about doing it?


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  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    Wesc. wrote: »
    How'd you go about doing it?

    No method springs to mind. In Bernoulli trials I think the events have to be independent, that's where I first went wrong. I'm certain there's a way to do it regularly but I'm yet go figure that out.

    8C4 gives 70 possible outcomes.
    There are only 5 possible outcomes where only one studied poet comes up. I.e post 6 7 and 8 with each of the first 5 poets.
    So 1-5/70 is 93%


  • Closed Accounts Posts: 1,918 ✭✭✭Meowth


    Sitting in study kill me now :( why did I opt for this :(

    What time is your study from on what days? Mine is from 6-10 on weekdays and 10-4 on Saturdays. so depressing
    Mondays I do 7 to 9 Tuesday and Wednesday till 6 Thursday 7 to 9 and Friday till half 5 :( meh hate it :( wasn't a very productive study today either :( half finished essay that is all over the place :(
    Omg coeur that's so long :o dunno how you do that :o is Saturday study good? I think I should join it :)


  • Registered Users, Registered Users 2 Posts: 1,763 ✭✭✭finality


    Wait now I think it could be 97%. Anyway, I think basically if you study 5 it's very unlikely you won't have at least 2, as all 3 of the ones you didn't study would have to come up.

    Hmm. If you study ONE poet, you have a 50% chance of them coming up. Study two poets and you have a 79% chance one will come up. I probably shouldn't say that though....
    How are you so good at Maths finality? Were you always good in like Primary School or whatever? I'd love an auld Mathsy brain. <3
    I'm NOT good at probability to be honest. :L It's so confusing.
    I have always liked maths, but I've only really loved it since 5th year. I think that's because in primary school and junior cert if I was finished the questions we were doing or whatever early, I'd end up waiting and though I know it sounds petty, I think that actually put me off the subject a little bit. The teacher I have for leaving cert is amazing, she let me work ahead and teach myself since almost the start of fifth year, so I ended up doing a LOAD of maths all the time because I genuinely found it fun, I'd do every question in the book until something made complete sense to me. Then I started getting between 95 and 100% in class tests whereas in junior cert I would've been getting high Bs/low As. Half way through fifth year I banned myself from doing maths after school. :L
    I wish I were better at maths, I think I'd be lost if I studied pure maths in college.

    So that's my maths life story. What about everyone else, how did you find maths all your lives? :P


  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    Eathrin wrote: »
    No method springs to mind. In Bernoulli trials I think the events have to be independent, that's where I first went wrong. I'm certain there's a way to do it regularly but I'm yet go figure that out.

    8C4 gives 70 possible outcomes.
    There are only 5 possible outcomes where only one studied poet comes up. I.e post 6 7 and 8 with each of the first 5 poets.
    So 1-5/70 is 93%

    Okay so this can be done if we multiply 5/8 x 3/7 x 2/6 x 1/5
    Obviously order doesn't matter to us so we multiply this by 4.

    Edit: Actually that doesn't sound right...it's definitely 93% though.
    Anybody find a better quick method to arrive at this?


  • Registered Users, Registered Users 2 Posts: 1,763 ✭✭✭finality


    Eathrin wrote: »
    Okay so this can be done if we multiply 5/8 x 3/7 x 2/6 x 1/5
    Obviously order doesn't matter to us so we multiply this by 4.

    But surely because one poet coming up is definite, you can just leave that out entirely and treat it as if you've studied 4 out of 7, where 3 poets will come up. Oh god why so confusing.


    edit: there are 35 possible ways of choosing 3 from 7. Only one of those will be all 3 you haven't studied.1 - 1/35 = 97%

    if you do 1 - (3/7 x 2/6 x 1/5) this gives you the same thing.

    My final answer is 97. Haha. At the end of the day it's between 93 and 98%. :L


  • Closed Accounts Posts: 6,298 ✭✭✭Namlub


    Studied all day but I feel like I haven't achieved anything. Also I timed myself writing a history essay, took me an hour. This exam is going to kill me.


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  • Registered Users, Registered Users 2 Posts: 8,076 ✭✭✭Eathrin


    finality wrote: »
    But surely because one poet coming up is definite, you can just leave that out entirely and treat it as if you've studied 4 out of 7, where 3 poets will come up. Oh god why so confusing.

    Yes but that's assuming you know who comes up.
    So we multiply by 5 to cover all studied poets.
    Still leaves me short, hmm


  • Closed Accounts Posts: 1,918 ✭✭✭Meowth


    Lads anybody else gonna be booking accomodation in UCD ?


  • Registered Users Posts: 43 cillian95


    Hmmmm.. all these probabilities are way off from mine:

    At least 2 poets coming up if you study 5:
    2poets: 5/8 X 4/7 X 3/6 X 2/6 = 1/14
    3poets: 5/8 X 4/7 X 3/6 X 3?5 = 3/28
    4poets: 5/8 X 4/7 X 3/6 X 2/5 = 1/14
    1/14 + 3/28 + 1/14 = 1/4 = 25%

    I really can't see how 93% is right? Will someone please explain where I'm going wrong.. otherwise my maths teacher and I are going to have great fun figuring this out tomorrow :)


  • Registered Users Posts: 4 Con_Con93


    The quickest and easiest way to do it is the way you had it done. 1 -P(0) - P(1).
    i.e 1 - the probability of getting none - the probability of getting one.

    That is 1 - 0 - 5/70.
    giving 65/70. Which is 92.857%.


  • Registered Users, Registered Users 2 Posts: 8,572 ✭✭✭Canard


    I am totally asking my maths teacher this tomorrow :L


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