statistics
posted by janice on .
participant on tv show picke from lage # applicants with equal number of men and woman .amongst the last 9 participant 7 have been women . if they are picked randomly what is the probability of geting 7 more women when 9 people are picked

Binomial distribution:
 large population=>probability is (almost) constant
 p=0.5 (men) q=(10.5) (women)
 random independent multiple trials N=9
 2 possible outcomes at each trial
P(7)=C(9,7)*p^7 * q^2
=(9!/(2!7!))*0.5^7*(10.5)^2
=0.07 (approximately)