00:01
And for this one, just a refresher about what it means for events to be mutually exclusive.
00:06
We say that two events are mutually exclusive if they cannot occur at the same time.
00:12
If they can occur at the same time, then they would not be mutually exclusive.
00:17
So the first example, letter a, you roll two dice and you get a sum of seven, or you get doubles.
00:26
Are they mutually exclusive? can you get a sum of seven and doubles at the same time? well, let's think about the ways you can get doubles.
00:35
You can get two ones, you can get two twos, you can get two threes, you can get two threes, you can get two fours, you can get two fives, and you can get two sixes.
00:56
But there's no way that you can roll double and get seven, get a sum of seven, because this is a sum of 2, 4, 6, 8, 10, and 12.
01:06
So these would be mutually exclusive because they cannot happen at the same time.
01:13
Letter b, sophomore and a business major.
01:16
Can those two things happen at the same time? yes, you can be a sophomore in college and be a business major.
01:22
So no, those would not be mutually exclusive.
01:32
Next one.
01:33
If you randomly choose a course, a college course, can it be a calculus course and an english course at the same time? yes, no, it cannot occur at the same time...