00:02
For problem 8, we're given that the probability of m, which is the probability lisa passes math, is 0 .65.
00:10
The probability that she passes english is 0 .75, and the probability that she passes math given she passes english is 0 .8.
00:19
Now, using the conditional probability formula, the probability of m given e would be defined as the probability of m and e, divided by the probability of e.
00:30
And we know that 0 .8 then is equal to the probability of m and e divided by 0 .75.
00:38
Multiply 0 .8 times 0 .75 and we get 0 .6 is equal to the probability of m and e.
00:46
So that would be the probability of passing both classes.
00:52
0 .6.
00:53
In the venn diagram here, the probability of a or b.
01:19
Let's see, we've got .8 so far.
01:26
And so the probability of, let me just make our sketch here...