How many eggs does an ovary produce?

Women are born with a certain number of eggs in their ovaries. These eggs will be released during each cycle until menopause, at which point none remain. For an ovary to produce an egg, many will have been released during this same cycle that will not get to ovulate. In each cycle, a single ovulation will normally be produced by one of the two ovaries. There is no connection wherein each ovary ovulates in each cycle; it is completely random.