00:01
Okay then you are dealt 13 cards from 52 and that means my sample space in the number of hands possible will be 52 c 13.
00:17
52 choose 13.
00:19
There's a combination, there's no order in a hand of cards and that you can work out on a calculator.
00:26
The ti 84 plus you will press the math button on the left with the arrow key go across to pro b.
00:35
Go down to ncr to type in the values, 52c13.
00:43
It's a very large number, what you will get.
00:49
And this, you don't need to write this down, and it will be 6 .35 times 10 to the 11.
01:01
So a large number of hands possible.
01:04
Leave it as that in the question to begin with.
01:09
Now, i want to work out in part a, the chance that i get ace of spades in my hand.
01:25
So sample space 52c13 and i want to get ace of spades.
01:36
So no choice about that particular card.
01:39
So ace of spades times now what i now want is going to be 12 more cards and the 12 i can choose from.
01:55
Going to be 51 choose 12.
02:01
I have one card fixed needs the spades, 51 cards left in the pack, i need 12 more.
02:09
So that then will be 1 times 51 c12 divided by 52 c 13.
02:22
And that you can work out on a calculator and if i do that press the math button again, prob 51 c12 is 1 .5875 times 10 power 11.
02:43
And on the calculator i'll just divide that by 52c13 and the answer is 0 .25.
02:55
Which makes perfect sense.
02:58
The four players.
03:00
All the cards are dealt.
03:01
So we know one player has the ace of spades.
03:04
So it's one chance out of four.
03:08
In decimal form, one out of four is the answer.
03:17
Now part b, what we have is p of ace of spades, as, and ace of clubs, ac.
03:31
So i need those two cards in my hand.
03:35
So again, same sample space, 52c13.
03:40
Now i want to have a, s, and i want a c, which means that's fixed.
03:52
I want another 11 cards and there are going to be 50 cards left to choose from.
03:59
I have the ace of spades, ace of clubs, those two are fixed...