00:01
In your question, we want to calculate the probability of winning.
00:04
So to win, we must have a face card, followed by a number card, in that order, in order to win.
00:27
Now, the question tells us how many face cards and how many number cards.
00:32
And it also says, i want to put this in here, without replacement.
00:37
So what we need to do is we need to take on the first event drawing a face card and determine its individual probability.
00:50
To draw a face card, it tells us that there are 12 face cards in the deck.
00:55
That's the number of favorable cards out of 52 total cards.
01:01
Then we need to determine what's the probability of drawing a number card.
01:06
The question tells us that there are 40 number cards.
01:09
But without replacement means we have to assume that we have drawn a face card so we don't have 52 cards to draw from anymore.
01:19
We only have 51.
01:22
Now what we do to get the overall probability is we multiply the two individual probabilities.
01:29
Now you can use a calculator for this...