00:01
We are wondering what the probability of drawing five clubs from just the black cards of a standard deck of cards is.
00:06
Well, let's think of our first draw.
00:09
If we're dealing with just the black cards, we have 26 possibilities.
00:15
However, we're wondering how many are just the clubs.
00:18
That means for my first draw, half of them, 13, are the ones i'm interested in.
00:24
Now, my second card, there's only 25 cards left because i've already pulled one.
00:29
And 12 of them are what i'm interested in.
00:33
After that, for my third card, there's only 24 cards left, and only 11 of them would satisfy being a club.
00:42
For my fourth, i have 23 possibilities left, and then only 10 of them would satisfy our requirements.
00:51
From my very last one, there's only 22 cards left, and only 9 would satisfy what i want.
00:57
This number looks huge, but let's see if we can simplify it, since this is multiplication...