statistics/probability question
Posted: Fri Sep 18, 2015 10:31 am
I'm theoretically participating in a writing competition. The weekends it takes place have been particularly busy, though, so I didn't submit.
Here's how the math works:
There is a given number of writers in your bracket. In mine, there are 29. The top 15 stories get points corresponding to their placement: 15 for 1st, 14 for 2nd, 1 for 15th. The same process is repeated for the second round. The placements are added and determine whether you advance.
I got 0 because I didn't submit.
My question is, could we use probability to determine the possibility of advancing? I would arbitrarily say that your first round results are 60% predictive of your second round, with the rest being random. So it should be unsurprising if a 2nd place writer gets 1st place in this next round, though it's not impossible for a 0-point writer to vault into 3rd place for the second round (though rarer).
Anyone want to run the math on this? My gut feeling is a 5% or less chance of advancing, but not 0%.
Here's how the math works:
There is a given number of writers in your bracket. In mine, there are 29. The top 15 stories get points corresponding to their placement: 15 for 1st, 14 for 2nd, 1 for 15th. The same process is repeated for the second round. The placements are added and determine whether you advance.
I got 0 because I didn't submit.
My question is, could we use probability to determine the possibility of advancing? I would arbitrarily say that your first round results are 60% predictive of your second round, with the rest being random. So it should be unsurprising if a 2nd place writer gets 1st place in this next round, though it's not impossible for a 0-point writer to vault into 3rd place for the second round (though rarer).
Anyone want to run the math on this? My gut feeling is a 5% or less chance of advancing, but not 0%.