Wood grain steering wheel?

I have reading posts about wood grain steering wheels. How do I tell if my 1965 Barracuda has it or not? Mine is light brown but worn smooth, it is a three spoke.

Yup, that's the one. The woodgraining has worn off, is all.

My car has a red interior and very few, if any options, it doesn't even have a radio, so I find it hard to believe it would have the wood grain wheel.

1965 was six decades ago, and steering wheels are readily replaced.

Whoever last installed yours clocked the centre emblem/horn button wrong; the point of the V should align with the single bottom spoke.