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We Did The Math To See If It's Worth Buying A Powerball($384) Or Mega Millions($306) Lottery Ticket
Business Insider ^ | 12-28-2017 | Andy Kiersz

Posted on 12/28/2017 3:09:15 PM PST by blam

The Powerball jackpot for Saturday's drawing is up to $384 million as of 11:00 a.m. ET Thursday. At the same time, the Mega Millions jackpot for Friday's drawing is up to $306 million.

Those are pretty huge chunks of money. However, taking a closer look at the underlying math of the lottery shows that it's probably a bad idea to buy a ticket.

Consider the expected value

When trying to evaluate the outcome of a risky, probabilistic event like the lottery, one of the first things to look at is expected value.

The expected value of a randomly decided process is found by taking all the possible outcomes of the process, multiplying each outcome by its probability, and adding all those numbers up. This gives us a long-run average value for our random process.

Expected value is helpful for assessing gambling outcomes. If my expected value for playing the game, based on the cost of playing and the probabilities of winning different prizes, is positive, then, in the long run, the game will make me money. If the expected value is negative, then this game is a net loser for me.

Lotteries are a great example of this kind of probabilistic process. In Powerball, for each $2 ticket you buy, you choose five numbers between 1 and 69 (represented by white balls in the drawing) and one number between 1 and 26 (the red "powerball"). Prizes are based on how many of the player's chosen numbers match the numbers drawn.

Match all five of the numbers on the white balls and the one on the red powerball, and you win the jackpot. After that, smaller prizes are given out for matching some subset of the numbers.

(snip)

(Excerpt) Read more at businessinsider.com ...


TOPICS:
KEYWORDS: lottery; megamillions; powerball
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1 posted on 12/28/2017 3:09:15 PM PST by blam
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To: blam
20 Lottery Winners Who Lost Every Penny
2 posted on 12/28/2017 3:10:50 PM PST by blam
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To: blam

How come running a numbers racket is legal for the state, but they will throw you or me in jail for it?


3 posted on 12/28/2017 3:11:44 PM PST by Delta 21 (Build The Wall !! Jail The Cankle !!)
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To: blam

If you’re worried about too much risk vs reward in the power ball or mega million lotteries, play it safe with your money & buy some bitcoin.


4 posted on 12/28/2017 3:13:10 PM PST by thinden
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To: blam

Our Founding Fathers played lotteries.

Sheesh. Nothing wrong with spending a few bucks on a dream.


5 posted on 12/28/2017 3:14:21 PM PST by Extremely Extreme Extremist (10% pure, flat income tax for everyone. No deductions, credits, or loopholes.)
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To: blam

That is a lot of gymnastics to go through to show you that the ticket is a sucker bet, but so is the pass line of a craps table over time.

The only way to certainly win is don’t play.


6 posted on 12/28/2017 3:15:31 PM PST by Anti-Bubba182
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To: thinden

LOL...vewry, vewry good!


7 posted on 12/28/2017 3:15:50 PM PST by Cuttnhorse
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To: blam

It’s a very bad idea to buy a ticket... except of course for the lucky dude that wins. The concept is that wagering a negligible dollar or two, for a very distant chance to have 300 million drop on your head, is pretty sensible unless you’re utterly broke.


8 posted on 12/28/2017 3:16:25 PM PST by DesertRhino (Dog is man's best friend, and moslems hate dogs. Add that up. ... we.)
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To: blam

Someone buy me a ticket and if I win I’ll pay you back.


9 posted on 12/28/2017 3:17:45 PM PST by Berlin_Freeper (Happy Nobama)
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To: Delta 21

“How come running a numbers racket is legal for the state, but they will throw you or me in jail for it?”

Criminals hate competition.


10 posted on 12/28/2017 3:18:27 PM PST by MeganC (There is nothing feminine about feminism.)
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To: Delta 21
How come running a numbers racket is legal for the state, but they will throw you or me in jail for it?

How come threatening to lock your neighbor in your basement if he doesn't give you a third of his paycheck is bad, but the government gets to do it?

11 posted on 12/28/2017 3:20:07 PM PST by KarlInOhio (The Whig Party died when it fled the great fight of its century. Ditto for the Republicans now.)
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To: blam

Had a Boss that told me lottery tickets were a tax on people who were bad at math. I told him that at 200,000,000 to 1 the odds were infinitely better than getting rich working for him.


12 posted on 12/28/2017 3:20:17 PM PST by Tijeras_Slim
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To: blam

The grand prize ticket may be a high-risk little reward situation for MOST ALL the buyers of the lottery ticket, but not for one - the winner.


13 posted on 12/28/2017 3:21:27 PM PST by Wuli
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To: Delta 21

Its for the Children...

If you did it then it would be for selfish reasons!

Do I need to add the sarcasm tag?


14 posted on 12/28/2017 3:22:27 PM PST by crusher2013
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To: blam

http://www.dailymail.co.uk/news/article-2023514/Joan-R-Ginther-won-lottery-4-times-Stanford-University-statistics-PhD.html

Math can do interesting things.


15 posted on 12/28/2017 3:22:36 PM PST by Pollster1 ("Governments derive their just powers from the consent of the governed")
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To: Tijeras_Slim

LOL, as a boss myself, I appreciate that candor/humor.


16 posted on 12/28/2017 3:25:38 PM PST by crosdaddy
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To: blam
Here's Exactly What To Do If You Win The $386 Million Lottery Jackpot, According To A Financial Adviser
17 posted on 12/28/2017 3:27:24 PM PST by blam
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To: blam
20 Lottery Winners Who Lost Every Penny

Fair enough. Now how about being fair and balanced and posting similar stories of individuals whose lives were changed for the better following their lottery wins? They certainly number more than the 20 losers you posted............

18 posted on 12/28/2017 3:29:44 PM PST by Hot Tabasco (My cat is not fat, she is just big boned........)
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To: blam

BFL! I’m off to buy my tickets before I read this.


19 posted on 12/28/2017 3:31:52 PM PST by Lurkina.n.Learnin (Wisdom and education are different things. Don't confuse them.)
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To: blam

If I spend money on a lottery ticket, I consider it entertainment money, like a movie. Throw away essentially.


20 posted on 12/28/2017 3:32:28 PM PST by Paradox (Don't call them mainstream, there is nothing mainstream about the MSM.)
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