Question

Jemma surveyed the students at her school to find out if they like the beach and/or the mountains for vacation. The table below shows the results of the survey: Like Beach Do Not Like Beach Total Like Mountains 36 28 64 Do Not Like Mountains 56 38 94 Total 92 66 158 If a student does not like the mountains, what is the probability that student also does not like the beach? 39. 1% 40. 4% 59. 5% 60. 8%.

Answer 1

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%

How to calculate the probability of an event?

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

$P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}$

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) = $\dfrac{38/158}{94/158} = \dfrac{38}{94} \approx 0.404 = 40.4\%$

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:

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