"It was a 20% chance of rain between noon and 1pm and there is a 60% chance that the dog walker may come at that time. What percentage that the dog walker will be walking in the rain with the dogs?"

please help me with this.
I know both events are independent but I'm not sure if this is the way to solve it:

20% = 1/5
60% = 3/5
1/5*3/5= 3/25 which is 12% that both events occur at the same time

is it correct?
if not... how can I practice this? is it compound probability?
Thank you very much! ​