In the few minutes of the football game that I watched last night, there was a sequence that would be interesting to probe further. The Pittsburgh quarterback threw a pass to an open receiver for what would’ve been a first down but he dropped it; the next play was a pass interception.
What I’d like to know is just how damaging is a dropped pass, or to extend the thought a bit the penalty that negates a first down. If you think about it, a sport like football is trying to attain a balance between offense and defense so that one would suppose that getting a first down in four plays (really three in most situations) is reasonably probable but not easy. Or to put it another way, that in a set of downs, the offense will only have so many opportunities to move the ball the required distance. So what is the “cost” of wasting one of those opportunities?