Again - you are wrong. This has been studied quite a bit. If there was a definitive answer on whether to defer or receive - everyone would do it. But since you ask here is the proof that receiving gives a statistically insignificant but nonetheless mathematical advantage to the receiving team:
The results over a sample of 2,110 games, with teams randomly assigned to the kicking and receiving groups, show that there probably isn't any advantage to kicking first and receiving in the second half. In fact, the results show that there could be an advantage to receiving first; however, a binomial test on the results yields a p-value of 0.13, or not statistically significant at the commonly used 95 percent confidence threshold.
So why do teams choose to defer if there is no evidence that it helps them win, and it could actually be a negative? The answer is gut-based decision-making explained in this
Fox Sports article.
if you have the ball and score at the end of the first half on the last play, then you get the ball back to start the second half. That’s a big momentum play. The opportunity to have the ball twice in a row — as the numbers clearly reflect — is beginning to sway a lot of coaches to defer on the opening coin toss.
Brian Burke and others have done great work showing that there is
no statistical evidence that momentum exists, but that isn't stopping coaches to make decisions based on a momentum theory when the numbers say the opposite call could be beneficial.
The key line there is that the numbers say receiving could be beneficial and the numbers say there is no momentum advantage with 2 possessions. You can argue with me all you want. I'm done now. The numbers are what they are and they establish receiving presents a slight statistical advantage. All of that said, ND should receive Saturday and then "onward to victory." GO IRISH. !!!