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help me explain something to a friend
My friend is smart, but he cant grasp this one issue. I cant convince him that Im correct. Ive tried to see his side but as a poker player I just cant agree with it.
We were having an argument about sports betting. I bet $100 on a head to head match, and I bet on the underdog, who were paying $475 for a win. I made the bet because I thought the underdog had a better chance of winning than the odds they were getting.
Him: You should never bet on the underdog. I always bet on whichever team is the favourite.
Me: But I thought they were good odds man.
Him: Yea but theyre the underdog.
Me: Its all about long term.
Him: *picks up the losing ticket* - its not long term. You lost $100 right now.
Me: Ok so lets play a game, we roll a dice. If I get a 6 you give me 1000. If I get 1, 2, 3, 4, or 5 I will give you 100. Youre the favourite and Im the underdog.
He is willing to play this game once with me (giving me the 10
00 if I roll a 6), but will not play the game a million times. We calculated the EV and he understands that, and that it is negative expectation in the long run. However, he will still play this game once, and only once, because he is the favourite. He will not play the game twice or more, because "odds of me winning go down the more we play"
His argument is basically that you should never bet on the underdog in sports betting, even if it is a positive EV situation. "Because you can never play in the long term, each sports game is independent and unrelated, so you should always bet the favourite"
I tried to tell him that a lot of "favourite" but -EV bets will combine to make you a loser - you win lots of little bets but lose a big one. But he doesnt grasp the concept of long term. Maybe I couldnt phrase it in the right way. Can someone think of a good example or phrasing?
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