00:01
Okay, if i throw two dice, then the sum can be between two and 12.
00:08
For get two, no choice, one and one.
00:12
To get three, one plus two or two plus one.
00:17
To get four, one plus three, three plus one, two plus two.
00:23
And you can work out a chance of each number like this.
00:33
So there are going to be four ways to get a five, for example.
00:38
6 can be any of these.
00:44
So 5 ways to score 6.
00:47
And the most common number you're going to get is 7 because that's 1 plus 6, 6 plus 1, 2 plus 5, 5 plus 2, 3 plus 4 plus 3.
01:00
6 ways to score 7 with 2 dice.
01:04
Getting 8, to go down now.
01:07
2 plus 6, 6 plus 2.
01:10
2, 3 plus 5, 5 plus 3, 4 plus 4.
01:15
9 will be 6 plus 3, 3 plus 6, 5 4, 5, 5, 5, 10, 6 4, 4, 6, 5, 5, 15, 11, 6, 5, 6, and 12, back to 1 chance.
01:35
6 plus 6.
01:36
Now here then, in total, we have 36 outcomes.
01:39
Outcomes.
01:45
I count up all these blue pairs.
01:48
You'll find there are 36 or there are two dice.
01:51
Each die has six faces.
01:53
So six times six outcomes possible 36.
01:58
Now part a says a sum not more than 11.
02:05
So p not more and 11.
02:10
So 11's fine, 10's fine, nine's fine.
02:14
You just don't want to get 12.
02:15
Well, that means then of the outcomes 36, 35 are fine...