00:01
Okay, in this problem we have when drawing from a 52 card deck, what is the probability of selecting a king followed by a queen followed by another queen? so we're saying we're going to get a king and then we're going to get a queen and then we're going to get another queen.
00:14
What's the probability of that happening? well, let's look at it one at a time.
00:19
Now, the probability of getting a king is going to be four because there are four kings out of 52 because there are 52 cards, right? so next we would have the that times the probability of getting a queen on the next draw.
00:33
So we would say, okay, there are four queens and then we no longer have 52 cards because we drew one already.
00:40
So that means we now have 51 cards to choose from.
00:43
And now with the third one, we are looking for another queen.
00:48
And how many queens are there? well, there's only three now since we drew one on the second round and we only have 50 cards now left to pick from.
00:58
So now what we're going to do is just multiply straight across.
01:01
We'll have, well, of course we know that four goes into 52, right? 13 times.
01:06
So we can say, okay, this is one out of 13 times four out of 51 times three out of 50, right? and we could probably, hmm, we could probably reduce these a little more...