The required probabilities are 0.228 and 0.418.
Probability
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
To find
The beach and the mountains for vacation.
How to find the probability?
It is the ratio of the favorable event to the total number of events.
[tex]\rm \\Probability = \dfrac{Favorable\ event}{Total\ event}[/tex]
The beach and the mountains for vacation.
Favorable event = 36
Total event = 158
Then probability
[tex]\rm \\Probability = \dfrac{36}{158}\\\rm \\Probability =0.228[/tex]
The probability that student also does not like the beach
Favorable event = 66
Total event = 158
Then probability
[tex]\rm \\Probability = \dfrac{66}{158}\\\rm \\Probability =0.418[/tex]
Thus, the required probabilities are 0.228 and 0.418.
More about the probability link is given below.
https://brainly.com/question/795909