Understanding of Random Process/Random Variable At a simpler level to my previous question, I wanted to confirm my understanding on Random Process based on Random Variables using an example.

So, I took this example:
If we consider a dice, which has six sides denoted by fi (i can be 1,2,3,4,5,6). So, assigning outcomes f1=10,f2=20,f3=30,f4=40,f5=50,f6=60 thereby constructs a Random Variable X.

Now, if we assign the outcomes: f1=15,f2=25,f3=35,f4=47,f5=80,f6=90 at a different time instant t2 and at time instant t3, we assign the outcomes: f1=43,f2=32,f3=16,f4=89,f5=99,f6=56.

So, if I plot this variation on a Graph, I am getting something like this below:



Now does this set of sample functions (Ensemble) constitute a Random Process?
Let me explain it in another way. Consider you have 6 different function of time.
You only throw your dice once and regarding the outcome you choose on of six functions and the chose one is one outcome of your random process.

Now expand this concept to all possible functions of time instead of only 6 functions and instead of dice throwing consider another form of random event which could append a probability to all (infinite) possible functions. The set of all these possible functions is your ensemble.