帮忙给算个概率题一个篮球队有6个黑人,6个白人.现在要2人一组安排宿舍.问黑人没有和白人一起住的概率.以下是英文原题：A basketball team consists of 6 black and 6 white players.The players are to be paired in groups of two for the purpose of determining roommates.If the pairings are done at random,what is the probability that none of the black players will have a white roomate?如果是我对原题理解错误也请指出!正确结果是：5/231.我算的结果是1/924，有和我算的一样的么。我感觉书上的结果算错了。

帮忙给算个概率题
一个篮球队有6个黑人,6个白人.现在要2人一组安排宿舍.问黑人没有和白人一起住的概率.以下是英文原题：
A basketball team consists of 6 black and 6 white players.The players are to be paired in groups of two for the purpose of determining roommates.If the pairings are done at random,what is the probability that none of the black players will have a white roomate?
如果是我对原题理解错误也请指出!正确结果是：5/231.
我算的结果是1/924，有和我算的一样的么。我感觉书上的结果算错了。