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Imagine you found the following odds (at three different bookmakers) for two soccer teams: |
Stellt euch vor, ihr fandet die folgenden Quoten (bei drei verschiedenen Buchmachern) für zwei Fußballteams: |
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| Bookie A | Team A |
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| Bookie B | Draw / Unentschieden |
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| Bookie C | Team B +0.25 |
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As you see you have placed 1920.00 euro on team B.
Question:How much money must you place on team A and on the draw to win in every case (whatever the result is) the same amount of money? What is your net profit in the end? The first one who gives me the correct answer on the two questions above will receive 5 SBD. Calculations are required (please, don't just guess any numbers! :-) ).
Please Consider that the odds of team B are asian handicap odds. "+0.25" means that in case of a draw half of your stake is returned to you and the other half is multiplied with the given odds (your win).
In case nobody solves the quiz within three days and/or there is some more interest I will write a full article concerning the solution of this (little) mathematical problem. Good luck! :) |
Wie ihr seht, wurden bereits 1920,00 Euro auf Team B platziert.
Frage:Wie viel Geld muss auf Team A und das Unentschieden gesetzt werden, um in jedem Fall (unabhängig vom Ausgang des Spiels) den gleichen Geldbetrag zu gewinnen? Wie hoch ist dann der Nettogewinn? Der Erste, der mir die korrekte Antwort auf beide Fragen gibt, erhält 5 SBD. Der Rechenweg ist erforderlich (bitte kein Zufallsratespiel veranstalten! :-) ).
Berücksichtigt bitte die asiatischen Handicap-Quoten für Team B. "+0,25" bedeutet, dass im Falle eines Unentschiedens die Hälfte des Einsatzes zurückerstattet wird, die andere Hälfte jedoch mit der gegebenen Quote multipliziert wird (euer Gewinn).
Falls niemand das Quiz innerhalb von drei Tagen löst und/oder Interesse besteht, werde ich einen Artikel bezüglich der Lösung dieses (kleinen) mathematischen Problems schreiben. Viel Glück! :) |
Congrats to @miniature-tiger for winning this contest. 5 SBD will be sent shortly. :)
Gute Idee mit dem Gewinnspiel! Ich habe auch gerade eines veranstaltet, aber nicht so mathematisch wie deines.
Leider war die Lösung hier schon veröffentlicht. Ich bin mal wieder zu spät dran. Ich schätze deine thematische Vielseitigkeit sehr! Wenn man Autoren wie dir folgt, weiss man a priori nie, worüber der Post handelt.
When I have time I may write an article with a more detailed explanation of the solution.
Bet on team A: 1536
Bet on draw: 300
Net profit: 84
I'll put my workings below!
Congrats: I declare you as winner of this quiz, because all your numbers are correct. :)
Concerning your maths I still have a question though: why did you write the gross winning of the bet on team B would be 2880 euro in case of a draw? They are half the stake (1920 euro / 2) multiplied by 2.00 = 1920 euro! The net winnings are 1920 euro minus the stake = 960 euro.
In case of a win of team B you win gross: 1920 euro * 2.00 = 3840 euro as you wrote. The net winnings are 3840 euro - 1920 euro = 1920 euro.
-> Thus the difference of the net winnings which you must balance is 1920 euro - 960 euro = 960 euro. (Not 3840 euro - 2880 euro. :-) ). Fortunately for you the difference is the same even if calculated in a different way so you got the correct stake for the bet on the draw, too. :)
great calculation, i was confuse with multiple calculation, hehe, i just found that result, but i doubt it.
Thanks very much! Winning received!
On your question, I think it depends on how you consider the returned stake? I haven't seen asian handicap odds before so I'm not sure how it would work in practice! But I assume that, on a betting website say, you would have to put down the full 1920 stake and then would receive 3840 back if B wins and 2880 back if it's a draw (1920 gross winnings and 960 returned stake) and 0 if A wins? So I guess I'm looking at it more in terms of cashflows. So you're right, where I've put "winnings" I should perhaps say something like "cashflows"!
Actually reading your text I think we just have a different way to say the same: you say what you get back (and consider the stake as already spent). I consider the whole winnings and then subtract the stake ... :)
Agreed!
Winnings from bet on team B = 3840 for win and 2880 for draw. Difference = 960
Bet on draw has to yield 960 at odds of 3.2, so bet of 300
Bet on team A has to yield 3840 for win at odds of 2.5, so bet of 1536
Total bets = 3756 so net profit is 3840 - 3756 = 84
Probably.
Congratz, fits in my formula (H = home amount | D = Draw amount)
Thanks!
I was stuck at creating an opposite -0.25 @ 2.109375 putting which would mean 1620€ on Home and 300€ on Draw which made the profit on the home side but I didn't know how to exactly middle it aside from trying some different numbers in the formula.
Anyway this was fun.
Agreed. A good contest. Reminds me I need to look out my next bet!
Mein Hirn explodiert leider schon, wenn ich den Artikel nur lese, aber viel Erfolg beim lösen allen die es probieren, uch wenn man dann nicht mehr gewinnen kann. :-)
Ohgott, da hab ich echt absolut keinen Plan, ich bin so der Rechen-Noob, ich wüsste nichtmal, wo ansetzen :D
Aber viel Glück den anderen :)
Good contest! Congratulation for the winner! ;)
@jaki01 got you a $1.87 @minnowbooster upgoat, nice! (Image: pixabay.com)
Want a boost? Click here to read more!
I only figure out should bet more than $1,536 on A so far. :-)
I will tell you if that is correct, as soon as you have provided complete answers to all questions. :)
Edit: by the way we are talking about euro here. ;-)
Bet draw 1200 euro
And team A 1536 euro
Think about, that if the game ends as a draw you will win '1.5' bets because of the +0.25 bet on team B ...
That's the thing I haven't been able to figure out late last night or too early. after midnight.
No problem - hope you had some fun nevertheless! :)
Yes, I did try if just for fun:-)
Resteemed :-)
Vielen Dank dafür!
This can be considered a #steemgigs as well!
Nice betting quiz,
I wrote an atricle on asian handicap a couple days ago on steemit(link)
Breaking my head over this one at the moment
Team A 2400.00 euro and Draw 3072.00 euroe
Nope. :)
My brain dries up when i hear about math. -_-
Right, mathematics can be somewhat complicated ... but upvoting isn't. :)
It's so easy to upvote.
I just clicked on the upward button and voila! :)
It's simple also to upvote a comment right? ;)
Sure, in general I upvote all comments, provided that the author has done the same with my article ... :)
(High upvotes are reserved for the ones who contribute to the solution of this mathematical problem, though.)
Indeed! It's easy as 1,2, 3! ;)
More power to you @jaki01. I'm sure a math whiz will drop by and help you solve it. ^u^
I hate math :(
But I love upvotes ... would you? :-)
Sure man! Steem on!!!!
We all love it! Thanks man!
Math? Oh, no! Haha.
:-)
to be honest i am not good at this hahah
thank for sharing @jaki01
I take risks 674.57
;-)
And I lose
Yes, indeed, haha.
Actually you need to place two different stakes on the draw and on team A ...
;-)