Question $1.$ In the following multiple choice question, choose all the answers that can characterize differences between deterministic and probabilistic relationships $($list all the correct answers separated by comma in your response$)(1$ point$)$:

In deterministic relationships the outcome is completely defined by the initial input values, and, unlike probabilistic relationships, they do not include any stochasticity in the process.

Deterministic relations are more suited for describing policy models because any policy solution should be determined and not be impacted by the changing circumstances.

Probabilistic relationships always happen with the probability equal $1.$

Probabilistic relationships account for possible unobserved factors that can also impact the interconnections between $x$ and $Y.$

Probabilistic relationships describe the possible interconnection between input and output unlike deterministic ones that are always certain.