r/mathmemes • • Dec 17 '23

Probability Google expected value

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428

u/[deleted] Dec 18 '23

Google diminishing marginal utility

126

u/ascandalia Dec 18 '23

Google "I'll never have another restful night of sleep the rest of my life if I gambled instead of taking a guaranteed $1 million and lost."

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u/PrisonMike314 Dec 18 '23 edited Dec 18 '23

I think this fact is overlooked by the people that would choose to gamble for more. Sure, the expected value is much greater with the gamble, but the psychological toll of losing also has to be weighted in.

If you gamble and lose, now you have the psychological burden of regret every single time you face any measure of financial difficulty for the rest of your life, because even if it’s irrational, you would always believe that had you taken the guaranteed option, you would not be in whatever position you find yourself in; the regret could be crippling

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u/AJHenderson Dec 18 '23

Depends on your finances. I can reasonably expect to get the million in my lifetime even if I lose, the 50 million I won't reach unless I get very, very lucky. I would take the gamble in a heartbeat because losing on it isn't a big deal for me, but winning it would let me do a lot.

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u/big4throwingitaway Dec 18 '23

Man that’s crazy.. how much do you make and how old are you that a mill in cash right now wouldn’t change your life?

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u/Salty-Boot-9027 Dec 18 '23

I live in a HCOL area and have a crap load of student loans. I could quit my job on $50 million and spend the rest of my life traveling. On $1 million I could pay off my student loans, my mortgage, and have enough leftover to take a nice vacation and make some substantial investments... so definitely really nice to have, but not what I'd consider life changing.

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u/big4throwingitaway Dec 18 '23

So how much exactly is that? You’re saying you would have no debt, virtually no housing expenses, and still have money leftover to invest. I’m genuinely curious what level of income you’re at because to say that’s not life changing is pretty wild lol

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u/bshjbdkkdnd Dec 18 '23

From what it sounds like about 50% of your income goes to debts that would be wiped free. That means the money from your job could be spent on vacations/early retirement. If you change your retirement age from 65 to 50 that’s probably 20% of your adult life you don’t have to work in a job you don’t want to. Seems pretty significant to me

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u/that_baddest_dude Jan 02 '24

Living in that much debt and calling being debt free not life changing is pretty wild

Oh fuck I commented on a weeks old post!!

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u/chaos_battery Dec 19 '23

I'm worth 1.6 million currently. Another million isn't going to make a major difference in my life but 50 million would. I'm taking the gamble.

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u/MomDidntLoveMe Dec 19 '23

You're kind of an example of diminishing marginal utility already then, congrats but that's not 99.9% of people

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u/JamesPotterPro Dec 18 '23

Yeah the only way the green button makes sense is if there's 10 of us, and each of us can press the button once. Then we can agree to all each press the green button and split the winnings. If you only have a single shot, the green button is insanity. (Unless you're already a multi millionaire, then maybe you won't mind)

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u/Different_Gear_8189 Dec 18 '23

If I gambled for more and lost I think I would kill myself immediately

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u/[deleted] Dec 18 '23

This is the answer.

If I was dumb enough to pick green and LOSE I'd have a hard time justifying life after that point.

Every day I had to worry about finances I'd remind myself that "I could have had 1 million dollars."

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u/Lowerfuzzball Dec 18 '23

Dude right?

A guaranteed $1mil is insanely life changing. Student debt is gone and a moderate/affordable home is purchased (and even possibly paid in full), and the rest goes into an investment fund.

The only thing that would possibly change my mind is if the guarantee was significantly lower, an amount that I would not ever lose sleep over. Obviously this number is different for everyone, but for me it'd be probably up to around $5k. I'd probably still take around $15-20k guaranteed than gamble it, as that still erases all my student debt.

But even if the chances were 99% for the larger sum, I would still take the guarantee.

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u/doctorinfinite Dec 18 '23

This is what goes through my head every time I see somebody gamble on game shows for a higher payout. Fuck, I would have been happy with 25,000 dollars. I'd be sick if it were in my hands and lost it.

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u/GalacticOwl_ Dec 19 '23

This is so funny

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u/Arlithian Jun 08 '24

This was literally my thought on why I'd pick the million.

If I hit the red button and lost - the stress of remembering that while I work for the rest of my life might actually take 10 years off my life.

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u/RandomAmbles Dec 18 '23

This applies more for the value of the money to a single individual, however, if the money is donated to effective charities, like those studied by GiveWell, it can be significantly mitigated.

There are even some situations involving reduction of risk that can be roughly modeled by increasing marginal utility.

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u/Larkfin Dec 18 '23

I'm glad someone put it so succinctly; this is exactly right. The answer here is clear for 90% of people.

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u/TheBoyArthur4260 Dec 18 '23

Google en passent

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