The probability that they will meet in one floor is 1/16.
There are 3 people, and 4 possible floors.
Then the probability of going to a given floor is equal to 1 over the total number of floors:
p = 1/4.
So, let's assume that the first person goes to a given floor, for example, the second.
Then we need to find the probability that the second and third persons also go to that same floor, and it is 1/4 for each.
Then the total probability is the product of the individual probabilities:
P = (1/4)*(1/4) = 1/16.
So the probability that they will meet in one floor is 1/16.
If you want to learn more about probabilities, you can read:
https://brainly.com/question/251701