Between Jan 1st and Dec 31st 2022 there were 547 hours with precipitation in Vienna, out of 365 days x 24 hours = 6% risk of precipitation during a one-hour bike trip, or, in other words, a 93% probability of rain-free cycling during a one-hour bike trip.
As a comparison: years 2015 through 2021 showed a 93% probability of rain-free cycling. The year 2014 showed a probability of 92%, 2013 a probability of 91%.
The hourly precipitation per week for 2022 as measured by the Austrian Meteorological Institute for Vienna (most recent on top):