To be clear, I'm not suggesting that playing the lottery is a rational thing to do, because it isn't.
However whilst each ticket has the same chance of winning, more tickets = more chances. Taken to extremes, the overall chance of winning would be very high, for example, if you were to buy 20 million tickets.
Edit: apparently it's around 45,000,000:1 for the jackpot so my example should be more like 50 million tickets. Same principle though.
Even if you bought 45 million tickets, they'd still sell the original 45 million meaning you'd only have a 1:2 chance
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