00:02
Okay, with this one, i'm going to find out how many possible ways can i pick six cards from 52? so i'm going to say my denominator of this is going to be all the ways that i could pick six cards.
00:14
So that's going to be 52 cards choosing six of them, right? and then so that's going to be 52 factorial over six factorial times what's 52 minus six? that's going to be 46 factorial.
00:28
So everything from 46 is going to cancel out.
00:30
We'll have 52 times 51 times 50 times 49 times 48 times 47 and then in my denominator like i said everything from 46 is canceling out so i just have six times five times four times three times two times one okay so i'm going to cancel out common factors right so we have let's see into 50, 10 times.
01:03
I'm going to say that, well, we have four times two is eight, eight times six is 48.
01:09
So that's going to cancel out.
01:10
And now i have three, and three goes into 51, right? three goes into 51, how many times 17 times? so really, this is 52 times 17 times 10 times 49 times 47.
01:28
I don't know what that is.
01:30
That's a really big number.
01:31
I'm going to pull out.
01:31
My calculator and just find that out manually that's 52 times 17 52 times 17 times 47 10 times 49 times 47 and that's going to give me let's see 20 million or sorry wait yeah 20 million 358 ,000 so 20 million 358 ,000 so 20 that's a lot of ways.
02:07
520.
02:09
Okay, that's a lot, a lot of ways.
02:11
20 million, 358 ,000.
02:13
So this is going to be my denominator.
02:15
And in my numerator, i'm seeing they have to all be black, right? so how many black cards are there in this deck? well, half of them.
02:25
So half of 52 is going to be 26.
02:27
So i need to find 26 choose 6 to find out what a numerator is going to be.
02:33
This is going to be the exact same process.
02:34
26 factorial over 6 factorial times 20 factorial...