Lotteries

๐—ช๐—ผ๐˜‚๐—น๐—ฑ ๐˜†๐—ผ๐˜‚ ๐—ฎ๐—ฐ๐—ฐ๐—ฒ๐—ฝ๐˜ ๐—ฎ ๐Ÿต๐Ÿฌ% ๐—ฑ๐—ถ๐˜€๐—ฐ๐—ผ๐˜‚๐—ป๐˜ ๐—ณ๐—ผ๐—ฟ ๐˜†๐—ผ๐˜‚๐—ฟ ๐˜€๐—ฒ๐—ฟ๐˜ƒ๐—ถ๐—ฐ๐—ฒ๐˜€?

This post is more for fun than finance, so if you're here for market updates, tune in next week. For nowโ€ฆletโ€™s talk lotteries.

You could say playing the lottery is like a hedge on your income: small cost, max upside. Someone ๐˜ฉ๐˜ข๐˜ด to win, right?

But hereโ€™s my issue, not with the lottery itself, but with how people ๐˜ท๐˜ช๐˜ฆ๐˜ธ the winnings.

Lotteries promise the average person a shot at extreme wealth overnight. It's a beautiful dream. But when you break down the actual ๐˜ณ๐˜ฆ๐˜ต๐˜ถ๐˜ณ๐˜ฏ ๐˜ฐ๐˜ฏ ๐˜ช๐˜ฏ๐˜ท๐˜ฆ๐˜ด๐˜ต๐˜ฎ๐˜ฆ๐˜ฏ๐˜ต, the numbers tell a very different story.

Letโ€™s take the UK National Lottery:
๐ŸŽŸ๏ธ A single ticket costs ยฃ2
๐ŸŽฑ Odds of hitting the jackpot (all 6 numbers): 1 in 45,057,473
๐Ÿ’ฐ Average jackpot winnings: ยฃ13 million

Sounds like a great return...until you do the maths.

In any other type of gambling, your return is directly tied to the odds.
Bet ยฃ100 on 5-to-1 football odds? You win ยฃ500.
Place ยฃ2 on a 500,000-to-1 accumulator? You would win ยฃ1 million.

๐—œ๐—ณ ๐˜๐—ต๐—ฒ ๐—น๐—ผ๐˜๐˜๐—ฒ๐—ฟ๐˜† ๐˜„๐—ฒ๐—ฟ๐—ฒ ๐—ณ๐—ฎ๐—ถ๐—ฟ, a 1-in-45 million chance should pay ยฃ๐Ÿต๐Ÿฌ ๐—บ๐—ถ๐—น๐—น๐—ถ๐—ผ๐—ป on a ยฃ2 ticket. Instead, it pays ยฃ13 million. And we ๐˜ค๐˜ฆ๐˜ญ๐˜ฆ๐˜ฃ๐˜ณ๐˜ข๐˜ต๐˜ฆ that.

Most people think:

โ€œI donโ€™t mind losing ยฃ2. The chance at millions is worth it.โ€
Fair enough. But if you ๐˜ฅ๐˜ช๐˜ฅ win ยฃ13 million, would you realize you were actually underpaid by ยฃ77 million? The lottery relies on people focusing on the headline number, not what they should have won.

Itโ€™s not just the jackpot either:
Match 3 numbers: Odds = 1 in 96
Payout = ยฃ30
Fair payout based on the odds = ยฃ192

My dad is ๐˜ฐ๐˜ท๐˜ฆ๐˜ณ ๐˜ต๐˜ฉ๐˜ฆ ๐˜ฎ๐˜ฐ๐˜ฐ๐˜ฏ when he wins 30 quid. He's so happy he might even buy extra tickets that week. But if someone underpaid us by 85% in any other context weโ€™d riot.

It's even worse in the US, the odds for the Powerball lottery are ๐Ÿฎ๐Ÿต๐Ÿฎ ๐—บ๐—ถ๐—น๐—น๐—ถ๐—ผ๐—ป ๐˜๐—ผ ๐Ÿญ, and a ticket costs $2. So a fair jackpot payout would be $584m! But the starting jackpot is just $20m...that's just 3.5% of what a fair jackpot should start at!

Lotteries arenโ€™t scams, theyโ€™re just framed in a way that convinces people to accept uneven odds. And maybe thatโ€™s the magic: buying hope, not a payout. Do I play the lottery? Occasionally, but only when the jackpot gets to the level of what I consider a fair payout...๐˜ข๐˜ฏ๐˜บ๐˜ต๐˜ฉ๐˜ช๐˜ฏ๐˜จ ๐˜ญ๐˜ฆ๐˜ด๐˜ด ๐˜ต๐˜ฉ๐˜ข๐˜ฏ $584๐˜ฎ ๐˜ซ๐˜ถ๐˜ด๐˜ต ๐˜ช๐˜ด๐˜ฏ'๐˜ต ๐˜ธ๐˜ฐ๐˜ณ๐˜ต๐˜ฉ ๐˜จ๐˜ฆ๐˜ต๐˜ต๐˜ช๐˜ฏ๐˜จ ๐˜ฐ๐˜ถ๐˜ต ๐˜ฐ๐˜ง ๐˜ฃ๐˜ฆ๐˜ฅ ๐˜ง๐˜ฐ๐˜ณ.

What do you think, are lotteries harmless fun or expensive fantasy?

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