00:01
In this problem, it is said that a and b are mutually exclusive events.
00:04
We have been given their probabilities.
00:07
And first of all, we need to compute the probability that a occurs, but b does not occur.
00:13
So a occurs and b does not occur.
00:17
So intersection represents and, that is why we are using it.
00:21
So a occurs and b does not occur.
00:24
So a intersection b complement.
00:26
Now, note that a and b are mutually exclusive.
00:30
That means that whenever a occurs, b does not occur, meaning that whenever a occurs, b complement occurs, which means that a is a subset of b complement.
00:41
And because of that, a intersection b complement will just be a.
00:45
So we are left with the probability of a.
00:48
A occurs with the probability of 0 .1, and so this is what we get.
00:52
Next, we have then asked to determine the probability that either a occurs without b occurring or b occurs without a occurring.
00:59
So the probability that a occurs and b does not occur, or a does not occur and b occurs...