Stinkin Ref said:
huh.....going for it on 4th down does not maximize your chances for getting either score.....it actually reduces them....
It quite obviously increases your chances of getting the second score given that you got the first, since it reduces your need from a touchdown down to a field goal.
no it doesn't....
Yes it does.Getting one score is worth the same amount as getting zero scores -- i.e., it is worth nothing. You have to get both.
So the relevant question concerning the second score is, what is the likelihood of getting the second score
given that you got the first.
It is obvious that the probability of getting a field goal is greater than the probability of getting a touchdown. So the probability of getting the second score after making a touchdown is greater than the probability of getting the second score after making a field goal.
your 4th down play must be successful in order for you to continue on to try and get either of the next two scores.....
if you try the FG.....you do not have this variable.....you eliminate one more unsure step
sure the FG might not work but at least you were able to attempt it....
your way thows in a variable that may not let you even get to where you want to be.........
This is not correct. You have to make the first score and make the second. The chance of making both is the product of making each. You don't get bonus points for doing the higher percentage one before doing the lower percentage one. Order doesn't matter.Trying to maximize the chance of making the first score (to keep hope alive) rather than trying to maximize the chance of making both scores is faulty thinking.