Thanks again to those that responded to my other posts

I am having trouble with this question however.

Small particles can be found in the molten glass from which glass bottles are made. If even one of these particles is incorporated into a bottle, then the bottle must be scrapped. Suppose that ten bottles are to be produced from a quantity of molten glass in which three of these particles are randomly distributed. What is the expected number of bottles that will have to be scrapped? (Let the random variable X be the number of bottles in which there is at least one particle).

I know how to work out the expectation, but I have no idea how to work out the probability distribution for x=1,2,3. Thanks a lot any help would be appreciated.