8 persons stand in a line at random. What is the probability that 2 persons X and Y don't stand together? Share with your friends Share 0 Nishima Pasricha answered this Here we have to find the probability that 2 persons X and Y don't stand together.The probability that the 2 persons X and Y stand together=7!8!Therefore, the probability that 2 persons X and Y don't stand together=1-7!8!=8!-7!8!=8.7!-7!8!=7!.78!=78 0 View Full Answer