Answer:
A sample space is the set of all possible results of a random experiment.
Let the random experiment be to choose a number in the interval [0, 1] and let X be the value chosen in that experiment.
On the other hand, whether the random experiment is to choose a number in the interval [0, 1] and let Y be the value chosen in that experiment.
Since the two experiments are independent, the sample space for the joint random variable (X, Y) is given by the cartesian product [0, 1] X [0, 1]
Step-by-step explanation:
