This app was mentioned in 7 comments, with an average of 1.57 upvotes
There's an app for this that supports up to 10 people. Everyone places their finger on the phone/tablet and the app randomly selects one. https://play.google.com/store/apps/details?id=com.boblert.whodoesit&hl=en
I have found that the best start player picker app is called Select Who? https://play.google.com/store/apps/details?id=com.boblert.whodoesit
I've also got Select Who on my phone. It's simple. I'm not sure whether I prefer it or Chwazi.
I use select who on my phone. Awesome app. https://play.google.com/store/apps/details?id=com.boblert.whodoesit
We use this app which does something similar https://play.google.com/store/apps/details?id=com.boblert.whodoesit
Select Who?
For choosing whom in the group to do something, like drawing straws: Select Who https://play.google.com/store/apps/details?id=com.boblert.whodoesit&hl=en