Please help me with this problem and NEEDED ALL PARTS WITH CLEAR HAND WRITTEN ONLY. PLEASE REMEMBER ONLY CLEAR HANDWRITTEN SOLUTION PLEASE.. Will be highly appreciated

1. In your room there is a drawer with 2 pairs of socks (4 socks in total). You rummage around in the dark and randomly pull out 2 socks. (a) What is the sample space for this experiment? Write out all of the possible outcomes. (b) Write out the outcomes composing the event that you did not pull out a matching pair. What is the probability of this happening? (0) More generally, suppose you have n different pairs of socks (2n socks in total), and you randomly pull out 2r many socks (for some 2r