00:01
Hello there and welcome.
00:03
So this is a pretty standard probability question.
00:07
We want to find the probability of pulling a queen and then an ace from a deck of cards.
00:11
So a deck of card has 52 total cards, of which four are queens and four are aces.
00:19
So the probability of first getting a queen is going to be four out of 52 times the probability of getting an ace, which is four out of 52 as well because there's four aces.
00:29
So these are the independent probabilities.
00:32
I'll write them down like so, pq times p a.
00:38
And when you multiply them like this, since they're two independent, oh, oh, actually, i almost got tricked.
00:44
It's actually gonna be four over 51, because after you pull the queen, you actually only have 51 cards remaining, not 52.
00:53
So it's gonna be four out of 52, because there's four queens and 52 cards.
00:57
Then you pull that queen out, and now you're gonna have four aces still, but only 51...