6 kids are dividing into two teams, one by one. What is the probability that Ariel is on Bob's team but not on Carlo's team?
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Ariel could be on any team, so there would be five spots left, two on Ariel's team, three on the other team. Bob would have to be on Ariels team, so the probability of bob getting to the correct team is 5 2 . There are 4 spots left, and Carlo has to be on the empty team, so the probability of Carlo being on the correct team is 4 3 . The probability of all of them being on the same team is 1 ∗ 5 2 ∗ 4 3 which is 0.3.