I am encountering distributions for the first time.
I refer to the probabilities that a computer part is made successfully/unsuccessfully as $\Pr(A) = 0.9$ and $\Pr(\overline{A}) = 0.1$ respectively.
The edge cases seem intuitive, i.e no working parts contained in a set of 4 would be would be $\Pr(\overline{A}) \cdot \Pr(\overline{A}) \cdot \Pr(\overline{A}) \cdot \Pr(\overline{A}) = 0.1^4$
As per my post history, it is rare for me to post a question without including "progress so far", but here I am having difficulty understanding what kind of probabilistic distribution should be applied. It seems that the problem should in some way be related to binomial distribution...
any tips/links/literature/assistance would be appreciated.
If the success probabilities for the 4 parts are independent, then this is a case of the binomial distribution, which describes the probability of $k$ successes in $n$ trials when the trials are independent. Link to Wikipedia.