There is no official study for this yet, but I am thinking that we will find more females playing and drawn to luck-based games than skill-based games because of how difficult the process of learning skill-based games may be.
Are you suggesting that males are better than females when it comes to skills? I strongly doubt that because studies prove differently, females and males can fit perfectly in all sectors of life if they have the will, focus and determination. As luck, it is random for everyone regardless of gender.
Another observation about luck-based games that a new gambler with an interest in them has to know is that they have the potential to make you, as a gambler, spend more money gambling than skill-based games.
You are not clear with this and you might want to restructure or correct the questions. However, what I understand here is about the Will and Belief, if that is it, well, it is the same for all genders, you may not do well where you do not have the two. But fate and luck will always play their role in our success.