A lived example of cognitive dissonance

I am running an early morning errand and it is raining fairly hard. Lights on, windshield wipers going strong. I am listening to the radio and on comes the forecast, "There's a 60% chance of rain today."

Three hours later I am out again running different errands. It is still raining hard. I am still listening to the radio. Again, on comes the weather forecaster "There's a 60% chance of rain today."

Thinking it through, it is quite tangled web. How can there be a 60% chance of rain when it is actually raining?