/sci/ - Science & Math

[Anonymous No.3796586]

For fun, here's a problem I tried to solve once. With help from the interbutts, I did solve it. I'd be interested to see what /sci/ comes up with. The actual problem was about bundling fiber optic cables, but it is stated easier as follows.

You have an urn with 169 balls. There are nine colors, 19 of eight colors and 17 of the ninth color. You draw 19 balls. What are the odds that you have drawn at least one of every color?

[Anonymous No.3796596]

Unrelated, but who is that cute girl in the pic?

[Anonymous No.3796606]

1:8.5 Anyone who says anything different is an idiot.

[Anonymous No.3796633]

>>3796596
It's a trap

[Anonymous No.3796653]

Incidentally, in case anyone thinks I don't have the answer, or if you want to check, the exact answer is
<span class="math">\frac{277965149251527612552035}{767812281053393520251307}[/spoiler]

>>3796596
Bailey Jay aka linetrap, hence filename

[Anonymous No.3796670]

>>3796633

the problem or the girl

[Anonymous No.3796713]

> /sci/ - Science & Math
> Math
bump