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?

Respuesta :

Answer:

0.9 is the required probability.

Step-by-step explanation:

We are given the following in the question:

Percentage of student that have visited the ocean = 70%

[tex]P(O) = 0.7[/tex]

Percentage of student that have visited the Mountains = 55%

[tex]P(M) = 0.55[/tex]

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

[tex]P(O\cap M) = 0.35[/tex]

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

We have to evaluate:

[tex]P(O\cup M) = P(O) + P(M) - P(O\cap M)[/tex]

Putting values, we get,

[tex]P(O\cup M) = 0.7 + 0.55 -0.35 = 0.9[/tex]

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