Find the sample space for the experiment. (Enter your answer in set notation.) You toss a six-sided die three times and record the sum of the...

Hello!

There is more than one sample space possible. The smallest one consists of all possible sums, the set of all natural numbers between 3 and 18. In set notation it is `{n in NN : 3lt=nlt=18}.`

The downside of this sample space is that not all its elements have the same probability. There is another sample space with equal probabilities. It consists of all tossing results, not only of sums. But it has `6^3=216` elements, so I cannot write down every element. In set notation it is `{(i,j,k): 1lt=ilt=6, 1lt=jlt=6, 1lt=klt=6}.`