00:01
So for part a, i'm interpreting that notation.
00:04
It's definitely not a standard notation as far as i can tell.
00:08
I'm interpreting that notation as being probability of a and b.
00:12
So we have that the probability of a and b, we can figure out using the relationship between the and, sort of combination of events and conditional probability, where probability of a given b is going to be equal to the probability of a and b over probability of b.
00:32
Therefore, probability of a and b would be probability of b times probability of a given b, time, or, pardon me, just, it should be just p of b times p of a given b.
00:45
So, plugging in the numbers, that's 0 .3, or, pardon me, 0 .75 times 0 .15.
00:57
Then for part b, we have probability of, i'm guessing, b with a zero, that's supposed to effectively be b complement.
01:06
So we're looking for probability of a given b complement.
01:10
We can figure that out by using the fact that the probability of a given b complement is going to be probability of a and b complement, divided by probability of b complement.
01:26
And probability of a and b complement is going to be equal to one minus the probability, or actually, let me be careful here, probability of a and b complement would be equal to the probability of a minus the probability of a and b.
01:48
And then we're dividing that by, well, or pardon me, that should be probability, oh, no, yeah, the numerator there is correct...