Question

In a large crowd there are three times as many men as women .three people are chosen at random. Assuming that there are so many people that choosing three has a negligible effect on the proportion of men to women , find the probability that they are. a) all men b) 2 women and 1 man

Answer 1

number of women ---- x
number of men ------ 3x
prob(choosing one man) =3x/4x = 3/4
prob(choosing one woman) = x/4x = 1/4

a) prob(3 men) = (3/4)^3 , you said that a choice has no effect on the next choice
= 27/64

b) 2 women, 1 man ---> could be WWM, WMW, or MWW
each one has a prob. of (1/4)(1/4)(3/4) = 3/64

so prob(2W,1M) = 3*(3/64) = 9/64

Answer 2

Thanks

Answer 3

Thank you very much