## Round Robin Scheduler

### Best and Worst March Madness Square Numbers

#### Number Combinations

We have analyzed the final scores from every NCAA Tournament game from year 2001 until now, to show which numbers and number combinations are most likely to happen in your NCAA Square Pool.

We used the final score from all 63 games of each of the 17 tournaments for a total of 1071 number combinations. This data does not include the play-in games.

The chart below shows the number of times each possible number combination has appeared. There are a total of 1071 final scores used to make up this chart. The most popular number combination 7-5, appearing 30 times.

To use this chart, simply find the largest of your 2 numbers in the left column, then the smallest of your 2 numbers in the top row. Where these numbers intersect will show the number of times this combination has appeared.

#### Individual Numbers

We have also broken this down to which individual numbers have appeared the most times. From the table below, using the past 17 March Madness tournaments, there are 2142 possible team scores. As we expected there is not a whole lot of fluctuating for the individual numbers. However, the most common number is a tie between 4 and 5 and the least common number was a 1.

The number 4 appeared 222 times

The number 5 appeared 222 times

The number 8 appeared 218 times

The number 0 appeared 218 times

The number 7 appeared 215 times

The number 2 appeared 215 times

The number 6 appeared 215 times

The number 9 appeared 210 times

The number 3 appeared 208 times

The number 1 appeared 200 times

#### Conclusion

The most obvious assumption to take away from the chart above is that you do not want to end up with duplicate numbers(same number in the top row and left column). As you can see from the chart, the 10 different duplicate numbers were the last 10 in most common occurrences. Obviously the reason for this is a game cannot end in a tie, therefore in order to win a square with a duplicate number a team would have to win by at least 10 points.

Other than that, there's not a whole lot of difference from one number combination to the next. Most of the number combinations appeared between 20-25 times. The least common non-duplicate number combination was 8 and 4, only appearing 14 times.

#### Odds of Winning a Square

Ignoring the chart above and assuming you are in a pool where all 63 games of the tournament are being used, and you are using a 100 square grid. You have 63 out of 100 or a 63% chance of having at least 1 winning square.