Probability of an event is its chance of . The probability that a student not liking mountains doesn't like beach is: Option b: 40.4%
Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]
Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For the given case, from the table (image attached below), we can see that, there are total 94 students who do not like mountains. Now, out of those 94, there are 38 students not liking beach.
Thus, if A = a student not liking beach
B = not liking mountains,
Then ,
P(A|B) = P(A ∩ B)/P(B) = [tex]\dfrac{38/158}{94/158} = \dfrac{38}{94} \approx 0.404 = 40.4\%[/tex]
Thus, probability of a student not liking beach given that that student doesn't like mountains is 40.4% approx.
Learn more about probability here:
brainly.com/question/1210781
