00:01
In this problem, it is said that among middle school students, 70 % like chocolate ice cream, 40 % like strawberry ice cream, 30 % like both.
00:08
We have been asked in the first subpart to construct a venn diagram to display the sample space of this chance process using the events that c means the student likes chocolate ice cream, and s means that the student likes strawberry ice cream.
00:20
So let us draw these two circles and let this one represent the event c, let this one represent the event s.
00:28
Now since 30 % of the students like both, so that means in the intersection we will have 30%.
00:34
Now, 70 % likes chocolate ice cream.
00:36
So that means that the entirety of c, the probability will be 70%.
00:41
So the probability of this outside part, that will be 70 % minus 30%.
00:47
So that means 40%.
00:49
Similarly, the probability that a student likes strawberry ice cream is 40%.
00:54
So this entirety of s will be 40.
00:56
So if we just consider this part outside, that is the part in s and not and c will be 40 % minus this 30%.
01:04
So that means we'll get 10%.
01:06
And this is our required venn diagram.
01:09
Next, let us go to the second subpart.
01:12
We need to find the probability that are randomly selected student likes chocolate or strawberry ice cream.
01:18
So chocolate or strawberry.
01:20
So the probability of c, union s, that is this entire part that is contained in both of these sets.
01:26
So we just need to add these probabilities and we will get our answer.
01:30
So we have 40, 30, and 10.
01:32
We need to add all of these up, and that will be 80%...