So I am trying to figure out some probabilities using hypergeometric distribution, and I am a little confused on one part I am trying to figure out.
I know how to figure out what the probability is of me getting X in sample Y is. However, I have no idea how to figure out what the probability would be of me getting X and Z in sample Y.
Let me give you an example of what I mean.
I have a basket with 5 Nectarines, 5 Apples, 5 Pears, and 5 Oranges. I want to grab, lets say 5 fruit from the basket. Of the 5 fruit I need exactly 1 or more apple, and exactly one or more pears, yet I can't have 0 of either (for example, 1 apple, 3 pears, and 1 orange is acceptable, but 1 apple, 2 oranges, and 2 nectarines is not).
How do I figure this out exactly?