Snakes and Stones

That is a good, (if not difficult) question!

The pairing to produce this offspring was Fire/Het Clown x Pastel/Het Clown which gives an equal chance to produce either a Pastel or Fire Clown offspring.

Ball python genes have different levels of visual expression based on a variety of factors (primarily genetic-environmental to a lesser extent).
Note: The level of visual expression of genes often controls the price of the specimen (higher = more valuable).

Clown is a recessive trait that changes both the pattern and color of the snake.
Fire is an incomplete dominant trait which is used as a color enhancer.
If a snake has the 'Fire' gene it will look relatively normal when it is young with a slight brightening of color, and then with each successive shed it will gradually grow lighter in color.
Markers for Fire in a normal ball python include a faded spot on the back of the head, tightened dorsal striping, with whitened faded patches on the lower sides, and of course brightening (instead of fading) as the ball python grows.

Since levels of expression can vary:  You have to ask yourself if you have an exceptionally bright Clown, or a Clown with the Fire gene.
In the case of the Clown in Photo #302 there is obviously something added vs. a normal Clown.
Clown patterning/color change can make it difficult to tell what the additional genes are.
I have seen experienced breeders posting clown ball pythons for sale with a 'possible this, possible that'-with about 8 different combinations. 

Side Note:  Having two copies of the Fire gene creates a 'Super Fire' ball python which creates a Black Eyed Leucistic coloration.