00:01
In this problem, we have been given some probabilities relating to whether a certain student passes mathematics and english.
00:08
We need to find the probability that she will pass at least one course.
00:12
Now, let us consider m to be the event that she passes mathematics and let us consider e to be the event that she passes english.
00:19
Then we need to find the probability of m or e.
00:23
That's the probability that she passes mathematics or english or both.
00:28
So the probability that she passes at least one course.
00:32
Now, using the addition law of probability, this is equal to p of m plus p of e minus p of m and e.
00:42
Now, it is said that the probability that she passes mathematics is 2 by 3.
00:47
So p of m, that's 2 by 3.
00:49
The probability that she passes english is given to be 4 by 9.
00:52
So p of e is 4 by 9...