Hiding Empty Filter Options

Go to Filter Module Settings > Filter Item Settings > Content > Display empty filter option - ensure it is set to No as shown below

Step 2: Show Post Count

Next you must enable the filter count option.

Go to Filter Module Settings > Filter Item Settings > Content > Checkbox / Radio Filter Options

If you do not wish for the filter count to be shown, then you can use the custom CSS below to hide the numbers.

.radio-count { display:none; }