Question

In a math​ class, 70​% of the students have visited the ocean and 55​% have visited the mountains on vacation before. If 35​% of the students have visited the ocean and the mountains on vacation​ before, what is the probability that a randomly selected student has visited the ocean or the​ mountains?

Answer 1

0.9 is the required probability.

Explanation:

We are given the following in the question:

Percentage of student that have visited the ocean = 70%

`P(O) = 0.7`

Percentage of student that have visited the Mountains = 55%

`P(M) = 0.55`

Percentage of student that have visited the Oceans and Mountains = 35%

`P(O\cap M) = 0.35`

We have to find the probability that a randomly selected student has visited the ocean or the​ mountains.

We have to evaluate:

`P(O\cup M) = P(O) + P(M) - P(O\cap M)`

Putting values, we get,

`P(O\cup M) = 0.7 + 0.55 -0.35 = 0.9`

Thus, 0.9 is the probability that a randomly selected student has visited the ocean or the​ mountains.