00:01
Find out the following probabilities for blackjack.
00:02
So blackjack we're playing, we're going to look at how many two card hands we can get with out of 52.
00:11
So we're going to take a combination of 52, picking two at a time.
00:16
And let's go to our calculator and get that particular number.
00:19
So i'm going to go 52, and then i'll go to my probability, and picking two at a time.
00:25
So we're going to have 1 ,326 different two card hands when we're playing blackjack.
00:34
Now, blackjack, you can have more than two cards, but we're just interested in the number of two cards hands because we have the questions here for that.
00:43
So let's look at the second problem number two.
00:47
Given that the first card is an ace, we have two cards.
00:50
So we know this card is an ace.
00:52
And how many ways can we get an ace? there's going to be four ways we get an ace.
00:57
So find the probability that you have a blackjack and then find the probability that you have a 21.
01:03
We have a very good choice, very good chance of getting a blackjack with the first car being of ace.
01:09
So if you get a blackjack, though, you have to have the black jack.
01:13
How many of those are there? there's one.
01:15
So there's only four ways you can get that particular combination.
01:20
So you're looking at four out of the 1326.
01:23
Now what about just to get a 21? well, there's four ways you would get that ace.
01:28
With how many what cards are there to get a 10? we have four tens, we have four jacks, we have four queens, and we have four kings.
01:39
However, with the jacks, we don't want to include the black jack because that would be a blackjack hand.
01:46
So we only want to look at three of those.
01:48
So for the second card, we have 15 ways of getting.
01:53
Getting a 21.
01:55
So we're going to multiply that together.
01:57
That would be 60...