00:01
In this problem, we have been asked to draw an appropriate tree diagram and use the multiplication principle to calculate the probability of the given outcome.
00:09
Now, it is said that there is a 50 % chance of rain today and a 50 % chance of rain tomorrow.
00:14
Now, we need to assume that the event that it rains today is independent of the event that it rains tomorrow, and we need to find the probability that there is no rain today or tomorrow.
00:23
So let us draw an appropriate tree diagram.
00:26
First of all, let us consider today.
00:29
So there are two options.
00:33
It's either going to rain today or there is no rain today.
00:38
So we have these two possible outcomes.
00:42
And it is said that there's a 50 % chance of rain today.
00:45
So the probability that it rains today is 50%, that's 50 by 100 or 0 .5.
00:50
And so the probability that it does not rain, that there is no rain, that will be 1 minus 0 .5 using the complement rule of probability.
00:59
So that's just going to be 0 .5.
01:02
Now next, let us consider the case for tomorrow...