cover

The Million-to-One Dream

How do the odds work in a lottery?
You buy a lottery ticket. ++Six little numbers++, printed on thin paper. Could those numbers make you a **millionaire**?

You buy a lottery ticket. Six little numbers, printed on thin paper. Could those numbers make you a millionaire? The odds are on the ticket: 1 in 13,983,816. What does that number even mean?

~~Let's shrink the lottery down~~ to something you can see. Imagine a lottery with just *three numbers*, and each number

Let's shrink the lottery down to something you can see. Imagine a lottery with just three numbers, and each number can only be 1, 2, or 3. How many different tickets are possible? You pick the first number โ€” three choices. Then the second number โ€” three more choices. Then the third. That's 3 ร— 3 ร— 3 = 27 possible tickets.

**Only one** of those 27 tickets wins. So your odds are *1 in 27*. That means if you bought one ticket, you'd probably l

Only one of those 27 tickets wins. So your odds are 1 in 27. That means if you bought one ticket, you'd probably lose. If you bought all 27 tickets, you'd definitely win โ€” but you spent more money than the prize!

Real lotteries are bigger. ~~Way bigger.~~ Let's say you pick six numbers, and each number can be anything from 1 to 49.

Real lotteries are bigger. Way bigger. Let's say you pick six numbers, and each number can be anything from 1 to 49. The first number has 49 choices. The second has 48 choices left. The third has 47. The fourth, 46. Then 45, then 44. Multiply them all together, and you get a huge number.

~~But wait โ€” there's a twist.~~ **The order doesn't matter.** If you picked 5-12-23-31-38-42, that's the same as picking

But wait โ€” there's a twist. The order doesn't matter. If you picked 5-12-23-31-38-42, that's the same as picking 42-5-31-12-38-23. They're the same ticket! So we divide that huge number by all the different ways to arrange six numbers. The math shrinks it down to 13,983,816 possible tickets.

That's your odds: **1 in 13,983,816**. ~~One winning ticket~~ hidden in _a mountain of nearly fourteen million losing ti

That's your odds: 1 in 13,983,816. One winning ticket hidden in a mountain of nearly fourteen million losing tickets. To picture it, imagine every person in a city the size of Los Angeles holding one ticket. Only one person wins.

~~Here's the tricky part~~ about odds: they don't change just because you play more. If you buy two tickets, your odds a

Here's the tricky part about odds: they don't change just because you play more. If you buy two tickets, your odds are now 2 in 13,983,816 โ€” slightly better, but still almost zero. You'd need to buy thousands of tickets to even nudge the needle.

So why do people play? Because someone does win, eventually. And because imagining ~~those six numbers lighting up~~ โ€” e

So why do people play? Because someone does win, eventually. And because imagining those six numbers lighting up โ€” even for a moment โ€” feels like a little spark of possibility. The odds are terrible. But the daydream? That's free.

How was this book?

A Wonderleaf Book

The Million-to-One Dream

โ€” How do the odds work in a lottery? โ€”

Wonderleaf Editions
โ€” ex libris โ€”
A Wonderleaf Book

The Million-to-One Dream

How do the odds work in a lottery?

Wonderleaf Editions ยท MMXXVI
Scene 1
You buy a lottery ticket. ++Six little numbers++, printed on thin paper. Could those numbers make you a **millionaire**?
The Million-to-One Dream2
Scene 1

You buy a lottery ticket. Six little numbers, printed on thin paper. Could those numbers make you a millionaire? The odds are on the ticket: 1 in 13,983,816. What does that number even mean?

3The Million-to-One Dream
Scene 2
~~Let's shrink the lottery down~~ to something you can see. Imagine a lottery with just *three numbers*, and each number
The Million-to-One Dream4
Scene 2

Let's shrink the lottery down to something you can see. Imagine a lottery with just three numbers, and each number can only be 1, 2, or 3. How many different tickets are possible? You pick the first number โ€” three choices. Then the second number โ€” three more choices. Then the third. That's 3 ร— 3 ร— 3 = 27 possible tickets.

5The Million-to-One Dream
Scene 3
**Only one** of those 27 tickets wins. So your odds are *1 in 27*. That means if you bought one ticket, you'd probably l
The Million-to-One Dream6
Scene 3

Only one of those 27 tickets wins. So your odds are 1 in 27. That means if you bought one ticket, you'd probably lose. If you bought all 27 tickets, you'd definitely win โ€” but you spent more money than the prize!

7The Million-to-One Dream
Scene 4
Real lotteries are bigger. ~~Way bigger.~~ Let's say you pick six numbers, and each number can be anything from 1 to 49.
The Million-to-One Dream8
Scene 4

Real lotteries are bigger. Way bigger. Let's say you pick six numbers, and each number can be anything from 1 to 49. The first number has 49 choices. The second has 48 choices left. The third has 47. The fourth, 46. Then 45, then 44. Multiply them all together, and you get a huge number.

9The Million-to-One Dream
Scene 5
~~But wait โ€” there's a twist.~~ **The order doesn't matter.** If you picked 5-12-23-31-38-42, that's the same as picking
The Million-to-One Dream10
Scene 5

But wait โ€” there's a twist. The order doesn't matter. If you picked 5-12-23-31-38-42, that's the same as picking 42-5-31-12-38-23. They're the same ticket! So we divide that huge number by all the different ways to arrange six numbers. The math shrinks it down to 13,983,816 possible tickets.

11The Million-to-One Dream
Scene 6
That's your odds: **1 in 13,983,816**. ~~One winning ticket~~ hidden in _a mountain of nearly fourteen million losing ti
The Million-to-One Dream12
Scene 6

That's your odds: 1 in 13,983,816. One winning ticket hidden in a mountain of nearly fourteen million losing tickets. To picture it, imagine every person in a city the size of Los Angeles holding one ticket. Only one person wins.

13The Million-to-One Dream
Scene 7
~~Here's the tricky part~~ about odds: they don't change just because you play more. If you buy two tickets, your odds a
The Million-to-One Dream14
Scene 7

Here's the tricky part about odds: they don't change just because you play more. If you buy two tickets, your odds are now 2 in 13,983,816 โ€” slightly better, but still almost zero. You'd need to buy thousands of tickets to even nudge the needle.

15The Million-to-One Dream
Scene 8
So why do people play? Because someone does win, eventually. And because imagining ~~those six numbers lighting up~~ โ€” e
The Million-to-One Dream16
Scene 8

So why do people play? Because someone does win, eventually. And because imagining those six numbers lighting up โ€” even for a moment โ€” feels like a little spark of possibility. The odds are terrible. But the daydream? That's free.

17The Million-to-One Dream

~ finis ~

Tiny picture books for big little questions.

โ€” a small constellation of questions โ€”
โœฆWonderleaf
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