If a hung jury is one that is unable to come to a unanimous decision regarding the guilt of the defendant. Suppose that there is a pool of 35 potential jurors, but 4 of the 35 potential jurors would never be willing to convict, regardless of the evidence presented. Twelve of the potential jurors will be randomly selected to be seated for the trial. Define to be the number of jurors in the jury pool that would never be willing to convict.

1. Name a probability distribution that you could use to find probabilities of X. Do not forget to include values of any parameters.
2. What is the probability that the trial will result in a hung jury, regardless of the evidence, given a jury of 12 randomly selected jurors from the pool?

Please explain how to work this out.