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February 2nd, 2018, 04:26 AM  #1 
Newbie Joined: Feb 2018 From: Ocala Posts: 2 Thanks: 0  Can you calculate how to do this?
I bet your math skills can't help me, but maybe I'm wrong and there's a genius out there. Let's see. Can anyone show me how to make a profit from the following scenario? Scenario: I bet \$1 each on 8 favorites in 8 horse races and I get 4 winners and 4 losers... Race 1: Win: Dividend \$1.50 Race 2: Loss Race 3: Win: Dividend \$1.50 Race 4: Win: Dividend \$1.50 Race 5: Win: Dividend \$1.50 Race 6: Loss Race 7: Loss Race 8: Loss The question is ...... \$8 in total is invested, and the total return is \$6 ..... so using creative mathematics how can I produce a return from these 8 results that amounts to more than \$8? I reckon there's some mathematical way to do it. The 4 bets are not allowed to be increased and must remain at \$1, and the dividends must remain at \$1.50 per win, and the precise order of the wins must remain. All bets are for the win only and no other types of bets allowed. Can anyone do it? Most people would say "the dividends add up to \$6, so that's the maximum return you can get for \$1 bets". I need a mathematical genius to find a way to do it. Last edited by skipjack; February 2nd, 2018 at 04:54 AM. 
February 2nd, 2018, 05:37 AM  #2 
Senior Member Joined: Oct 2009 Posts: 403 Thanks: 139 
Can't be done. Mathematically it can be rigorously proven by the martingale optional stopping theorem that this is an impossibility. https://en.wikipedia.org/wiki/Optional_stopping_theorem 
February 2nd, 2018, 05:46 AM  #3  
Senior Member Joined: Sep 2016 From: USA Posts: 379 Thanks: 205 Math Focus: Dynamical systems, analytic function theory, numerics  Quote:
\[1.50 + 1.50 + 1.50 + 1.50 = 8\] I guess I'm a genius. Mom will be so proud.  
February 2nd, 2018, 12:48 PM  #4 
Global Moderator Joined: May 2007 Posts: 6,511 Thanks: 585 
Don't bet on losers!

February 2nd, 2018, 01:01 PM  #5 
Senior Member Joined: Aug 2012 Posts: 1,889 Thanks: 525  

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