Stinky Socks

Discrete Mathematics Level pending

There are two brothers Ram and Shyam. There are 4 pair of socks. 1 green, 1 blue, 1 red and 1 black pair. All 8 socks are well mixed in a box. Both brothers are going to party and is getting ready but when they were just going to pick out socks , electricity goes out. Now they pick socks at random alternatively 2 times each. What's the probability of no one getting right pair?

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