There appear to be no women on any of the PT teams

Interesting experiment.

For control, you make 2 instructional videos explaining and promoting MtG and the FNM experience. One has a male speaker, one has a female speaker. (Doesn't have to be a video necessarily, but that ensures everyone gets identical content.)

You have a large sample of males of typical MtG age range who don't know the game and a large sample of females of the same age range who also don't know the game.

Show half of each gender the male speaker video and half of each gender the female speaker video.

Afterward, assess interest in trying MtG among each group and see if results vary based on speaker/viewer demographics.

I don't know for sure, but I hypothesize that each gender would be somewhat more interested when the game is presented by the same gender as them. I also suspect you would still have somewhat lower interest overall among women.

If that were the result, that would suggest that there are things WotC and local stores/communities can do to increase participation by women, but that the participation level will always be noticeably lower than by men.

Who knows? I'd be interested to see this done though.

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