<s>[INST] A group of friends, consisting of 3 boys and 5 girls, go to a concert. Everyone sits in a row and each person wears a hat. The lights go down and when they come back up, no one remembers what color hat they had on. The only thing they remember is that the number of people who wore white hats is between one and four. What is the probability that nobody sat next to someone with the same colored hat?[/INST]