6 male students and 3 female students sit around a round table. What is the probability that no 2 female students sit beside each other?

Answer 1

total arrangement=(6+3-1)!=8!

with 2 girls sit beside,
arrangement possible=3C2*(6+2-1)!=3*7!

probability 2 girls always sit beside=3/8

answer=1-3/8=5/8