00:01
So in this question, we're told that we are drawing a card from a deck of cards, and we're asked to find two probabilities.
00:07
But before we look at those probabilities, what i want to make sure you understand is how we, like what a card deck is made up of.
00:15
Obviously, it's made up of cards, but we can get more specific than that.
00:19
So we know that there are 52 cards in our deck.
00:24
And of these 52 cards, there are a total of four symbols that they can be.
00:29
Okay? so they can either be diamonds, they can be clubs, they can be hearts, and they can be spades, sorry, or.
00:50
Now, any card is going to have only one of these signs, okay? we can't have a card that's both diamonds and clubs, but doesn't work.
00:59
Okay? now, these four symbols are represented equally in the cards.
01:05
So it means that of our 52 cards, one -fourth of them are diamonds, one -fourth of them are clubs, one -fourth of them are hearts, and one -fourth of them are spades.
01:14
Okay? but it also gets even more specific than that.
01:17
Okay? so for each of these diamonds, sorry, not for each of these symbols, we have some cards for them, right? so the first card we have is an ace.
01:30
Then we have a two, a three, a four, a five, a six, a six, a six.
01:37
Seven, eight, nine, ten.
01:44
And then what we have is our king.
01:49
Well, no, if we're gonna go in order, let's go with our joker first.
01:52
So we have our joker, our queen, and our king.
01:57
Okay? and this organization, like these card types, there is always, there is one of each card type for every symbol.
02:06
So there's only one ace of diamonds, and there's only one ace of clubs.
02:10
And similarly, there's only one four of space, so if we're going to keep that in mind, we know that...