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re: 20k guaranteed or coin flip for 100k?

Posted on 7/1/16 at 8:56 am to
Posted by UGATiger26
Jacksonville, FL
Member since Dec 2009
9128 posts
Posted on 7/1/16 at 8:56 am to
quote:

Two boxes left, one is $1, the other is $1,000,000. How high would the offer have to be for you to take it vs opening the box?

that happened in real life. Dude turned down 400+K. His box had a dollar in it.


Wow.

Unless I was an absolute OT baller, I don't think I could ever turn down a guaranteed $416,000 (although I know it would a lot less with taxes).

The notion of leaving with only $1 would be way too much for me to overcome.
Posted by 13SaintTiger
Isle of Capri
Member since Sep 2011
18419 posts
Posted on 7/1/16 at 8:56 am to
Only a poor person would flip.
Posted by shel311
McKinney, Texas
Member since Aug 2004
112944 posts
Posted on 7/1/16 at 8:58 am to
quote:

Some of you are overthinking this.
If you don't have an outright need for $20k(i'm talking you're in financial woes or whatever), then that is absolutely how you should look at it.
Posted by CarRamrod
Spurbury, VT
Member since Dec 2006
58624 posts
Posted on 7/1/16 at 8:59 am to
quote:

I'll take the 20. I'll turn it in to 200k within a year.


Posted by The Seaward
Baton Rouge
Member since Jan 2006
11552 posts
Posted on 7/1/16 at 9:00 am to
quote:

See, I disagree. When you start playing the aversion to risk angle, you screw yourself. You flip the goddamned coin because that's what results in the best overall outcome in the long run. Yes, I understand that there's only one coin flip and the "long run" isn't strictly applicable here.


What if it was 20 million and 100 million instead of thousands? You still flipping the coin?

I agree that taking positive EV plays throughout your life is the best way to go and you should come out ahead, but sometimes it might make sense to veer from the higher EV.
Posted by shel311
McKinney, Texas
Member since Aug 2004
112944 posts
Posted on 7/1/16 at 9:00 am to
quote:

I agree. 100% > 50%
Faulty logic
Posted by StrongBackWeakMind
Member since May 2014
22650 posts
Posted on 7/1/16 at 9:01 am to
Ok.
Posted by Louie T
Member since Dec 2006
36753 posts
Posted on 7/1/16 at 9:02 am to
quote:

Now, most people will take the flip. That's why most are idiots and choose poorly throughout their lives.
My god.

Having the audacity to call someone else an idiot is truly spectacular.
Posted by Powerman
Member since Jan 2004
175643 posts
Posted on 7/1/16 at 9:03 am to
quote:



But according to the OP, you have $20K at stake. So the question is, really - Would you pay $20K for a 50% chance at $100,000?


Right. That's how you have to look at it.

I'd take the 20K. It might not be life changing but it's guaranteed.
Posted by Powerman
Member since Jan 2004
175643 posts
Posted on 7/1/16 at 9:04 am to
quote:

The expected value of a 100k coin flip is 50k.

Any rational thinker should take this situation.

Not if you only get to do it once

Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
104450 posts
Posted on 7/1/16 at 9:04 am to
quote:

What if it was 20 million and 100 million instead of thousands? You still flipping the coin?


I take the $20M in that case. That's life-changing money.

Just like I'd take the $416K over the 50/50 shot at $1M in the Deal or no Deal post, although the $416K is a lot closer to the expected value than a 20/100 scenario.

$20K though... that's not changing my life enough to not gamble on the $100K.
Posted by TexasTiger34
Austin, Kind of
Member since Mar 2008
11344 posts
Posted on 7/1/16 at 9:07 am to
The amount of people saying flip for 100k tells me exactly how many uneducated degenerates are on this website or how many people are richer than thought. I doubt it's the latter.
Probably the same people who I see in gas stations buying scratch offs
Posted by terd ferguson
Darren Wilson Fan Club President
Member since Aug 2007
114938 posts
Posted on 7/1/16 at 9:08 am to
quote:

I'll take the 20. I'll turn it in to 200k within a year.


You a drug dealer, brah?
Posted by Powerman
Member since Jan 2004
175643 posts
Posted on 7/1/16 at 9:08 am to
quote:

$20K though... that's not changing my life enough to not gamble on the $100K.



I can understand that line of thinking. For me it's tough to pass up the guarantee even though it's not statistically the smart choice.

But you only get to do it once. It's not like you get to repeat the exercise over and over in which case the choice to gamble would be the only rational choice. With a sample size of one it's debatable.
Posted by Codythetiger
Arkansas
Member since Nov 2006
30480 posts
Posted on 7/1/16 at 9:08 am to
If 20k is life changing then you need to change your life
Posted by Ace Midnight
Between sanity and madness
Member since Dec 2006
96240 posts
Posted on 7/1/16 at 9:08 am to
quote:

Personally, I flip the coin.


This is a bad hypo, IMHO. The valuation is not right. The flip is worth, on paper, $50k. So, your CBA and ROI are all out of proportion. Only the truly, almost self-defeating, overly conservative are going to take $20k.

It gets interesting if you make it $40k versus the coin flip. Even more interesting if you make it $50k or even $60k. That's when you find your gamblers/risk-takers out there. At $50k, I take the guaranteed every time. At $60k, only the reckless flip the coin, for example.

So, long story short - I flip the coin for $100k versus taking the $20k guaranteed. That's basic economics.
Posted by Powerman
Member since Jan 2004
175643 posts
Posted on 7/1/16 at 9:10 am to
quote:

So, long story short - I flip the coin for $100k versus taking the $20k guaranteed. That's basic economics.


Not when you only get to do it once

Posted by Louie T
Member since Dec 2006
36753 posts
Posted on 7/1/16 at 9:10 am to
quote:

The amount of people saying flip for 100k tells me exactly how many uneducated degenerates are on this website or how many people are richer than thought. I doubt it's the latter.
Posted by slackster
Houston
Member since Mar 2009
91871 posts
Posted on 7/1/16 at 9:10 am to
quote:

See, I disagree. When you start playing the aversion to risk angle, you screw yourself. You flip the goddamned coin because that's what results in the best overall outcome in the long run. Yes, I understand that there's only one coin flip and the "long run" isn't strictly applicable here.

It doesn't change the fact that flipping the coin is provably the better choice, but emotion has led many people to make the wrong choice.

That, or bad math.


Take it to the extreme then. $20k guarantee or a coin flip where heads wins you $1MM but if it's tails you owe $900k. EV of the flip is still $50k, so you flipping?
Posted by StringedInstruments
Member since Oct 2013
21072 posts
Posted on 7/1/16 at 9:11 am to
quote:


Someone is downvoting us for knowing probability and expected values




Help me understand why the $50k expected value is still better than $20k guaranteed?

If someone takes the flip and loses, the actual value is zero, right? Therefore actual value is $20k > 0 if you select the guaranteed option.

*I'm approaching this with the mindset that I need money as opposed to just having extra.
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