00:01
On this problem, we're told that a deck of 52 cards is shuffled through it.
00:04
We want to find the probability that the four aces are all next to each other.
00:08
Now remember, probability is the number of favorable outcomes over the number of total possible outcomes.
00:19
And so here on this problem, because we have 52 cards, there are 52 factorial different ways that we could arrange all of those cards.
00:29
Now, at top, let's treat for the number of favorable outcomes.
00:33
Treat the aces like they're combined.
00:37
If all the aces are combined, then we really would only have 49 cards.
00:41
And so there would be 49 factorial ways to arrange them.
00:46
We would have 48 non -aces, and then the one big aces card combined together...