When you leave the movie theater, an usher tells you that there were 175 girls and only 25 boys in the theatre.
A) This makes you wonder who was sitting in the row behind you (rows have 10 seats). Find the probability that the row behind was all girls, 9 girls exactly, 8 girls exactly 7 girls exactly, 6 girls exactly, and at least 6 girls.
So guys can you show me how to do 10 girls exactly and at least 6 girls. I can figure out the rest if i see how exactly this is solved.
The thing i tried for 10 girls was
175/200 X 174/199 X 173/198.... but i got 21.9 % chance for that and i felt susicious about my answer and i needed someone to confirm that i was going it right before i went forward, plus i needed help on the at least 6 girls one since i have a feeling im doing it the long way and there is a shorter way.