00:01
In this problem, we are going to use various rules of probability in order to find the probabilities of certain events.
00:09
So in this question, we are given the percentage of different colors of candies.
00:17
Now, in the first problem, we need to find the probability of getting a green candy or a blue candy.
00:34
Now, first of all, we need to determine whether getting a green candy and getting a blue candy, whether these outcomes are mutually exclusive or not.
00:44
Now, the answer to this is yes, they are mutually exclusive because when one candy is chosen at random, it cannot be both green and blue.
00:54
So that means either it's going to be a green candy or it's going to be a blue candy or it's going to be neither of them.
01:00
But it cannot be green and blue at the same time.
01:03
So, both of these outcomes cannot happen simultaneously, hence the outcomes are mutually exclusive.
01:11
Because of this, using the addition rule, we can say that the probability of getting a green candy or a blue candy is the probability of getting a green candy plus the probability of getting a blue candy.
01:29
Now, according to the table that has been given, the green candies form 10 % of the candy.
01:36
Is in the back so the probability is 10 % and similarly blue candies also form 10 % of all the candies so the probability is once again 10%.
01:46
So 10 % plus 10 % is 20 % or you can write that as 220 by 100 which is equals to 0 .2.
01:57
So the probability is 20 % or 0 .2.
02:03
Similarly in the second question we need to find the probability of getting a yellow candy or a red candy.
02:15
Similar to the previous part, we need to first of all determine whether the outcomes are mutually exclusive.
02:21
In this case as well, they are mutually exclusive because on choosing one candy at random, it cannot be both yellow and red.
02:28
So both of these outcomes cannot happen together.
02:31
The outcomes are mutually exclusive...