Let's say being a programmer requires X, Y, and Z. X is 65/35 male/female, Y is 60/40, Z is 55/45.
The odds of finding a woman with X, Y, and Z is 0.35 * .4 * 0.45, about 5%.
The odds of finding a man with X, Y, and Z is 0.65 * .6 * 0.55, about 20%.
All else equal, you'd find that about 80% of programmers are male.
Obviously my example is contrived, but if you think I'm wildly wrong, please respond with something math-based, even if it's equally contrived. Then we'll at least know what the other is really getting at.