Mega Millions Lottery: The Best Way to Play

Part 2: Nine Top Mega Millions Strategies

Part 1 of this series described the traps and scams you face when playing the Mega Millions lottery. In the following you'll find the 9 top Mega Millions lottery strategies to use if you decide to play anyway.

Mega Millions lottery strategy #1: Only play when the jackpot is over $140,000,000

Your odds of winning the Mega Millions jackpot are vanishingly small so the payout has to be really high to be worth playing. If you hate math, you can take my word for it and skip to the next Mega Millions strategy. Otherwise, stay the course and finish reading this strategy first.

Professional statisticians use a term called "expectation value" for this. To calculate the expectation value of your Mega Millions lottery ticket purchase, multiply the value of each prize by its probability, and sum those values for all prizes. Then, subtract the probability of loss multiplied by the cost of a ticket

For the Mega Millions lottery, the total expectation value of all prizes except the jackpot is $0.18. Since the expectation value of losing is about $0.975 you need a jackpot higher than $140,000,000 to make the overall expectation value positive.

To make this mathematically accurate the Mega Millions jackpot needs to be 3 to 4 times higher to account for taxes and for the lump sum payment being much lower than the advertised annuitized jackpot. However, using strategies 5 and 8 below will offset those issues for the most part, so I'd stick with $140,000,000 as my minimal jackpot to make playing worthwhile.

Mega Millions lottery strategy #2: Concentrate your ticket purchases in higher jackpot drawings

Your odds of winning the Mega Millions jackpot are higher when you buy the same number of tickets in one drawing rather than spread over many drawings. As an extreme example, if you buy 88 million tickets in one drawing you'd have a 50% chance of winning the jackpot. Spread the same tickets over 88 million drawings and your chance of winning at least one Mega Millions jackpot is only 39%.

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interesting ideas. I really enjoy reading it. thanks

Posted on 03/04/2009 at 2:03:08 AM

Never put this much thought into the lottery. Interesting.

Posted on 02/13/2009 at 8:02:53 PM

Susan, though my article (and calculations) are for Mega Millions, not Powerball, the same technique can be used to check at what prize level it makes sense to play. As an easier calculation, simply multiply the price of a ticket by the odds against winning the jackpot. If the jackpot is higher than that number, it makes some sense to play.

Posted on 04/20/2008 at 8:04:12 AM

I guess I'm just not a risk taker and don't find lotteries any kind of thrill. Great read, however, for those who do!

Posted on 04/20/2008 at 8:04:45 AM

Interesting facts and strategies, Opher. I have to tell you, every time I've been tempted to play lately, I remember what you've said and talk myself out of it. Although last I checked, our Powerball was getting pretty high :)

Posted on 04/20/2008 at 5:04:57 AM

We always get the scatch tickets for stocking stuffers. in birthday cards etc. and have one up to $1,500 - but maybe we should by the mega lottery LOL Actually a lady 2 houses down did win 2 million - they had a cabin and tore it down and put the money into a new home. Smart move as it is the waterfront land that would have been more and they already had thet.

Posted on 04/18/2008 at 9:04:05 AM

As you may have noticed, the first part of this series of articles shows that playing the lottery is not a smart way to gamble. This article, Part 2, was intended only for those who have decided to play anyway, to show some of the better ways to do so. I'm considering adding a third part to compare playing the lottery to playing casino games making the point that the latter provides much better odds, and thus more fun per dollars lost. The disadvantage of casino games is that they allow you to play more frequently, and they still favor the house, so on average the player will still lose, and potentially much more money. To answer your question, I rarely play lottery games (probably a handful of tickets over decades), and have thus not won aside from minor prizes that did not even cover the amount spent to buy tickets.

Posted on 04/17/2008 at 7:04:52 PM

An interesting application of statistical probabilities. I can see applying your concepts to craps and roulette, but it seems a little to consider the lottery from any perspective other than luck, hope, god, whatever... Just one question, Have you won? Best regards, Jesse

Posted on 04/17/2008 at 6:04:52 PM

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