Every time the Powerball climbs into absurd territory - like a billion dollars absurd - my brain does this little dance between logic and imagination. I know the math. I really do. The odds are comically bad. But I also know one inconvenient fact that refuses to go away. Someone is going to win. And for the price of a dollar, I get a tiny seat at the table of possibility. Not a plan. Not a strategy. Just a dollar sized permission slip to daydream. Usually for about five minutes, right up until reality taps me on the shoulder and asks why I'm still staring at the ceiling.
I've never been the guy who plans his life around winning the lottery. I pay my bills, I save, I work, I build things slowly. But I will absolutely toss a dollar into the machine when the jackpot gets stupidly large. That dollar buys entertainment and a fleeting fantasy, not a financial roadmap. It is not in my budget, my retirement plan, or any spreadsheet that I would show an accountant with a straight face. What drives me nuts is watching people spend money they don't have chasing that same fantasy. I've known folks who will drop $200 or $300 on tickets and scratch offs while stressing about rent. At that point, it's not hope anymore. It's self harm with better branding.
This is where the math really matters, because this is where people lie to themselves. The actual odds of winning the Powerball jackpot are about 1 in 292,201,338. That's not "unlikely." That's absurd. Yes, if you buy 300 tickets, you technically improve your odds to about 1 in 974,004. Mathematically true. Practically meaningless. When your starting point is one in nearly 300 million, multiplying it by 300 is still an infinitesimal drop in a very large bucket.
It's like saying you're going to walk across the country and debating whether you take one step or 300 steps on day one. Sure, 300 steps is more than one, but you still have tens-of-millions of steps left to go. You are not meaningfully closer to the destination. You're basically still tying your shoes. So if you're going to play at all, spending a single dollar makes sense as a harmless fantasy. Spending hundreds (or thousands) and pretending the math suddenly works in your favor is just self deception with receipts.
If you wanted to buy enough tickets to give yourself a reasonable chance of winning, you'd be spending more money than it's worth. To get to about a 25% chance of winning, you'd need roughly 84 million unique tickets. Not thousands. Not hundreds of thousands. About eighty four million. Powerball tickets cost $2 each. So you'd need to spend around $168 million just to get yourself to a one in four chance. And even then, there is still a 75% chance you lose everything. (1)
Philosophically, the lottery exposes how humans relate to chance, faith, and control. A dollar ticket is harmless acknowledgement that the universe is weird and unpredictable. Turning that ticket into a plan is where things go off the rails. I don't reject hope. I reject outsourcing responsibility to luck while ignoring reality. Science, math, and evidence don't care how badly we want the miracle. A wise man once said, "live like there's no tomorrow, but pay your bills just in case."
So yeah, I'll buy my single ticket. I'll enjoy the fantasy. And then I'll go back to doing the reliable, daily work that actually moves the needle. Dreams are fine... but they don't pay the mortgage. (2)
(1) Groups of wealthy investors, bankers, or lottery syndicates have periodically tried to "beat the system" by buying massive blocks of tickets. They spend millions, sometimes tens of millions, covering huge portions of the number space. And most of the time, they still lose. Completely. There have been a few rare cases where groups like this won smaller lotteries with better odds, usually state level games with far fewer combinations. But with games like Powerball, the number of possible combinations is so enormous that even industrial scale spending barely dents the probability. In several well publicized attempts, groups spent millions and walked away with nothing, proving the same uncomfortable truth the math predicts. You can't brute force a game designed to be unwinnable at scale. That's actually one of the strongest arguments against the "I'll just buy more tickets" mindset. If people with spreadsheets, capital, and coordination couldn't reliably make it work, the guy buying scratch offs on the way home from work isn't playing a different game. He's just paying more tuition to the same lesson.
(2) What I like to do is play a single set of numbers, but I fill out the card so that I get one play for the next 20 or 30 drawings automatically. That way I am not running back to the store every few days like this is some kind of ritual. The odds are the same either way. I am just spreading the play out over time and reducing the friction. And honestly, even if the jackpot is low, I would be perfectly happy winning a million dollars or four million dollars. A billion is outrageous and obviously fun to imagine, but I don't care. I'm not going to go hog wild and spend $100 because the pot is larger. For me, a dollar or two a week is the price of a little entertainment and a little daydreaming. Nothing more.
P.S. Another common myth is the idea of "hot" and "cold" numbers. These are the numbers that supposedly have not hit in a while and are therefore "due," or numbers that hit frequently and are somehow more likely to come up again. I get comments all the time from people who have watched my previous videos on tracking lottery numbers, asking if I can build something to number history and predict future draws. I always give the same answer. There is no point. Every drawing is an independent event. The odds of any specific number combination coming up are exactly the same every single time, regardless of what happened before. The lottery does not have a memory. There are no hot numbers. There are no cold numbers. There is just randomness, and our brains are very bad at accepting that.
Darn Richard, you're reading my mind again. That's exactly the dilemma I go through when these numbers get so stupidly high
Donald Blackwell
@Reply 8 months ago
For me, buying a lottery ticket is kind of like going to a casino, grabbing dinner and a movie, or spending a day at a theme park. I set aside a certain amount of money knowing it's going to be spent, and I just hope I get some enjoyment out of it.
The odds of actually winning big are tiny, but the fun is in the "what if." Even the anticipation has its own payoff. And honestly, it's not that different from other entertainment - sometimes your favorite restaurant has an off night, or the latest movie in a series doesn't live up to the hype. Same deal with the lottery: you're paying for the experience, and if you get a little thrill out of it, that's already a win.
Thomas Gonder
@Reply 8 months ago
Well, if the odds of winning are better than a billion to one, then your expected win goes above a dollar. Yeah, I'm not going too deep with the analysis not knowing the real numbers and all. Just helping rationalize an emotional decision. Which psychologists tell us is how we make most of our decisions.
Adam Schwanz
@Reply 8 months ago
In case anyone else is interested. This is from ChatGPT and formatted horribly, but I was curious after you said the 1/4 chance, at what point does it become a guaranteed profit (without ties).
Let's walk through it carefully.
1. Cost to buy every Powerball combination
Powerball odds:
1 in 292,201,338
Ticket price: $2
Total cost to buy every possible ticket:
292,201,338x$2$584.4 million
That's your upfront cost.
2. Advertised jackpot vs. cash value
Powerball jackpots are advertised as annuity values paid over ~30 years.
The cash option is typically about 50 - 55% of the advertised jackpot.
So if the advertised jackpot is J, the cash value is roughly:
0.52J (approx)
3. Taxes (this is the killer)
Assuming:
Federal tax: 37%
State tax: ~5% (varies; some states are higher, some zero)
Total effective tax 42%
So you keep about:
58% of the cash value
4. Net payout formula
Your take-home amount would be approximately:
Net=Jx0.52x0.58Jx0.30
So you only keep about 30% of the advertised jackpot.
5. Break-even point
You need:
0.30J>=584.4 million
Solve for J:
J>=584.40.30$1.95 billion
J>=
0.30
584.4
$1.95 billion
6. But wait - it gets worse
That still isn't enough, because:
A. You might have to split the jackpot
If anyone else wins (very likely at high jackpots), your payout is divided.
B. Logistics costs
Printing, purchasing, transporting, and validating 292 million tickets is practically impossible before the drawing closes.
C. Lower-tier prizes don't help much
Smaller prizes are already baked into the odds and don't materially change the result.
7. Realistic "profitable" jackpot
To actually justify the risk and splitting probability, estimates usually land around:
$3 - 5 billion advertised jackpot
And even then:
You'd need no other jackpot winners
You'd need perfect execution
You'd need massive upfront capital
This is why it's theoretically interesting but practically impossible.
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