The advantages of going up 20–14 over 19-14 are:
1. Fresno St. needs an extra point after a TD instead of just a TD with no conversion to win.
2. Two field goals by the opponent tied the game instead of beating you (There was not enough time for this one to matter in our scenario leaving No. 1 — and making the conversion charts you can quickly Google not a fit here)
The advantages of being ahead 19-14 instead of 18-14:
1. Should Fresno State score a TD with time left, they either kick an extra point to go up 21-19 (unlikely) or have to get a 2-point conversion to go up 22-19.
If they kick or fail to get the 2 points, you can win the game outright with a field goal and if they do, you can still tie with an FG. Instead of an extra point to make it 21-18 or having the option to take the FG out of play completely with a two-point conversation to make it 22-18
So on a basic level, which is more likely to come into play?
Fresno scores a TD and misses an extra point, something kickers at this level hit 95-99% of the time.
Or
Fresno makes a big play for a TD, and you only have to get to the 40 or so to kick a field goal.
I’m not sure the exact odds here, but I’d guess it’s much higher than of a missed extra point.
So you get to this: The odds of making a two-point conversion are just under 50%, I believe about 48% so we are talking about a slightly loaded coin flip in favor of not. But this isn’t as simple as calling heads or tails, the best offenses have a 55-60% chance and the worst have about a 40-45% chance.
Given what we know about the two offenses on the field in our scenario, let’s say each had about a 45% chance.
By kicking the extra point, what you’ve essentially done is something your kicker will do almost automatically and flipped it to Fresno needed to do something they will do less than half the time, at the expense of the very small odds their kicker would come down and miss an extra point at 20-20.
It’s a small trade off and this is a situation where there isn’t a huge payoff either way, but it improves your odds in the most likely way to come into play to make it worthwhile.