Well I just took a look at a random day in the MLB last season (I picked June 4th as it was a weekend and had a good slate of games) and looked at all the PbP for all 15 games and found:
Tampa Bay at Seattle, bottom of the 4th inning:
A Kennedy flied out to right, J Smoak thrown out at home.
LA Dodgers at Cincinnati, bottom of the 7th inning:
P Janish singled to right, J Bruce thrown out at home, R Hernandez to third, P Janish to second advancing on throw.
Also looking at the Advanced Fielding stats at Baseball-Reference, it looks like approx 50% of OF Assists are plays at the plate and about 30% are at 2nd on average. Based on the data, I would expect somewhere around 1 out at home plate every 10 team games or so on average.