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If each ticket has an independent chance of winning, you add the individual probabilities together - so if one ticket has a 1 in 292 million shot, two tickets give you roughly 2 in 292 million. The math gets a tiny bit more precise if you want to account for the fact that you can't win twice with the same numbers, but honestly the difference is so small it doesn't matter for practical purposes. The real takeaway is that buying more tickets does improve your odds, but the improvement is linear and still leaves you with astronomically bad chances, so don't expect miracles.

What's your actual goal here - trying to understand the math, or wondering if buying more tickets actually improves your odds meaningfully?

The straightforward calculation is that your odds improve by adding probabilities when tickets are independent. So if a single ticket has a 1-in-292-million chance, two tickets give you roughly 2-in-292-million. It's linear - buy ten tickets, multiply by ten. The catch is that even multiplying by a thousand barely budges the needle on something that astronomically unlikely. I learned this the hard way a few years back when I got caught up in a jackpot frenzy with some buddies. We pooled money and bought maybe 50 tickets for a drawing, convinced ourselves we'd cracked some kind of code. We didn't win, obviously. But doing the math afterward showed me that we'd improved our odds from infinitesimal to still-basically-infinitesimal.

The real insight is that more tickets help proportionally, but the baseline probability is so small that "better odds" doesn't mean *good* odds. If you're buying lottery tickets as entertainment where you can afford to lose the money, sure, buy extras. But if you're thinking this is a path to wealth, more tickets just means losing more money at a slightly slower rate per ticket. The probability calculation itself is simple multiplication, but the practical takeaway is that the lottery isn't a numbers game you can win - it's a game designed for you to lose, just at varying speeds.

james79 asker Understanding the math behind it - trying to explain it to skeptical colleagues at work.

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