00:01
For this problem, we know that we are looking for the probability of exactly two aces and no spades.
00:11
So to begin, we're going to need to determine which suits those two aces come from.
00:20
We also know that there are no spades, so we only have three different choices for the suit that the aces come from.
00:27
So we have 3 choose 2 for determining where we get those two aces from.
00:33
Then we multiply that by, well, we know that we've used up two of the cards in our hand on those two aces, which means that, well, we're going to need to fill out the remaining 11 cards in the hand with cards that are not aces and are not spades.
00:52
So we know that there are going to be a total of 13 cards in each suit, so we would have a total of 39 non -spaces to choose from, or not in spaces, non -spades to choose from.
01:07
But then also we know that we're going to need to subtract off all of the aces because, well, we know that we cannot pick any more aces.
01:19
So we'd have 39 minus 4 different choices, and we are choosing 11 from that.
01:25
So of course 39 minus 4, that's going to give us 35...