56% of general population wears eyeglasses while 3.6% wear contacts, 55.4% are women and 44.6% are men (eyeglasses). Out of those who wear contacts 63.1% are women and 36.9% are men. assume that no one person wears both. For the next person you encounter at random what is the probability that the person is a women wearing glasses?

Question

56% of general population wears eyeglasses while 3.6% wear contacts, 55.4% are women and 44.6% are men (eyeglasses). Out of those who wear contacts 63.1% are women and 36.9% are men.  assume that no one person wears both. For the next person you encounter at random what is the probability that the person is a women wearing glasses?

beefarm · Answer

31.024% chance, I believe.
Just to clarify, "56% of general population wears eyeglasses while 3.6% wear contacts, 55.4% are women and 44.6% are men (eyeglasses)" means that 55.4% of the 56% that wear eyeglasses, are female, right?