<s>[INST] Let's say I have 10 pairs of socks. Each pair is uniquely colored (I represent this as a pair of colored dots). I take the 20 socks and throw them into a dark room. When I go to grab what I think are pairs, if I pick up two socks of different colors, they don't match and I have to put them back. My friend, who can see the socks, tells me that I picked up two socks of different colors (but not which ones), so I put them back and try again. Assuming optimal strategy, after grabbing 10 times, I have a 100% chance of getting a pair. Is this true?[/INST]