Start here · Essential guide
How Lottery Odds Work and Why They Are So Long
How a 6 from 49 lottery draw produces jackpot odds of about 1 in 14 million, how the smaller prizes compare, and why widening the range stretches the odds further.
Chance Beyond Games
Lotteries and Long Odds
Why lottery odds are so long and how to picture tiny chances.
Annuity Versus Lump Sum: The Time Value of Money
Why money received later is usually worth less than money received now, explained with simple discounting examples. General education only, not financial advice.
Do Lucky Numbers Change Lottery Chances
Why every lottery combination is equally likely, why 1-2-3-4-5-6 is as probable as any other set, and why choosing lucky numbers cannot change the odds.
Expected Value of a Lottery Ticket
A worked, illustrative example showing how to calculate the expected value of a lottery ticket and why the average return is typically below the price paid.
Picturing One in Fourteen Million
Everyday comparisons that make a chance of about 1 in 14 million feel real, from seconds on a clock to coin flips, dice and a line of millimetres.
Raffles and Prize Draws: Calculating Your Chances
How to work out your chance in a raffle or prize draw from the tickets sold, and how extra prizes and multiple tickets change the arithmetic, with checked examples.
Scratch Cards and How Prize Pools Work
How scratch cards use a fixed pool of prizes across a print run, what printed odds mean, and an illustrative example of the average return per card.
Shared Jackpots and Popular Number Choices
Why popular number combinations do not win more often but tend to be split among more winners, with illustrative numbers on how jackpot sharing works.
Why Lottery Winners Seem to Come in Clusters
Why repeat winners, repeated numbers and neighbouring winners are expected across many draws and many players, using the logic of coincidences and birthdays.
Why Syndicates Do Not Improve Value
How pooling money in a lottery syndicate raises the chance of a share but leaves the expected value of each stake unchanged, with a worked illustrative example.
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