From a drawer that contains 10 pair of gloves, six gloves are selected randomly. Let X be the number of pairs of gloves obtained. Find the probability mass function.
I honestly do not know what they mean in this problem. What am I looking for probability wise? Am I looking for 6 specific gloves in a box of 20? (10 pair) If this were the case, when x=2 I could potentially have 2 probabilities to get the next glove I want depending on if I drew one on the first draw or not.
For example, If I wanted 6 gloves out of the 20, the probability of be drawing one of the 6 would be 6/20. But when I make a second draw, the probability could either be 6/19 (Meaning I didn't draw one of the gloves I wanted) or 5/19 (meaning I did). This ambiguity leads me to believe my thinking of the problem is incorrect but I honestly cannot infer any other scenario they could mean by "6 are drawn randomly."
Can anyone give me their 2 cents?