Counting even if no number is present

[khank]

As you will notice on attached sample.

I looking to count the total "ODD" and "EVEN" numbers using:

=SUMPRODUCT(--(MOD(A2:F2,2)=1)) for ODD
=SUMPRODUCT(--(MOD(A2:F2,2)=0)) for EVEN

The problem is when a cell is blank the coding counts the blank cell as a EVEN number.

Any suggestions on how to change the coding to not count "blank cells"??

[brokenbiscuits]

In the EVEN column:

=SUMPRODUCT(--(MOD(A2:F2,2)=0))-COUNTIF(A2:F2,"")

[Cutter]

Or this for the evens:

=SUMPRODUCT((MOD(B2:F2,2)=0)*(B2:F2<>""))

[khank]

Coding works on both submittals - thanks