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Hard probability question...

Name: Anonymous 2009-03-22 20:47

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.

Name: Anonymous 2009-03-22 21:02

Did you quote this question verbatim?  Because if you did, then you don't need to do any math, and I'll tell you why.

The set-up does not mention the number or rows or whether the theater was either partially (in terms of percentage) or completely filled.  I know it says that there are 10 seats per row, and so one would assume that there are 20 rows, but that is not necessarily true.

Answer with a simple "Not enough information" and explain why.

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