Below are a few tables that show how the dice probability is determined
 

Two dice totals

Die 1

Die 2

1

2

3

4

5

6

1

2

3

4

5

6

7

2

3

4

5

6

7

8

3

4

5

6

7

8

9

4

5

6

7

8

9

10

5

6

7

8

9

10

11

6

7

8

9

10

11

12

Total

Number of combinations

Probability per roll

2

1

2.78%

3

2

5.56%

4

3

8.33%

5

4

11.11%

6

5

13.89%

7

6

16.67%

8

5

13.89%

9

4

11.11%

10

3

8.33%

11

2

5.56%

12

1

2.78%

Total

36

100%

 
Strat-o-matic cards use 3 6 sided dice rolls to determine an At Bat
1 die to determine which card and column to use (roll 1,2,3 = hitter / roll 4,5,6=pitcher)
the other two dice give you which result to read in the column.
 

Below is an example of how to determine the batting average for a player card.

Batting average = Number of hits (divided by) Number of At Bats

In the case of a strat-o-matic card the Number of At Bats is equivalent to the number of "chances" or combinations to reach base. I would like to note that all this determines is the Batting Average for the player IF the result is on his card. It does not take into effect the pitcher he is facing. But it is a helpful comparison when comparing hitters to hitters.

We will start by computing the Batting Average versus Righthanded Pitchers.
Remember from the chart above, for 2 six-sided dice, the total number of combinations are 36.
On the hitters card, we have three columns of 36 chances, therefore there are 36 x 3 = 108 "At Bats" on the card versus Righthanded Pitchers.

A hit is a single, double, triple, or homerun (or any combination, example: HR 1-9, DO 10-20 is counted as only 1 hit). We want to count the number of chances for hits. Look at the righthand table at the top of the page. Notice the number of combinations or "chances" per total. If a hit falls on a 7 then that hit is worth 6 chances. If a hit falls on an 8 or a 6 then that hit is worth 5 chances, if a hit falls on a 9 or a 5 then that hit is worth 4 chances. See the pattern?

Ok, count all of the hits from Hatteberg's card. Do not count a hit that is not a "full" hit (example: SI* 1-7, lineout 8-20) I will discuss these next. Also, do not count the hits that are preceded by a < or a #, these are ballpark effect results (you may add them if you like). Hits preceded by & are clutch results, you can count them as hits.

The total raw hits = 23. Now we need to calculate partial hits. Hatteberg has 2 partial hits:

SI* 1-14, lineout 15-20 (14/20 = .7 * 2 chances = 1.4 total chances from this hit)
and
SI* 1-7, lineout 8-20 (7/20 = .35 * 3 chances = 1.05 total chances from this hit).

When you have a partial hit, then you have to multiply the chances for that hit location by the percentage chance for that hit.

Total raw hits = 25.45
Batting Average = #Hits / #ABs
Batting Average = 25.45 / 108 = 0.235

 
 

Simple? Yes! Tedious? oh yeah! But useful. If you purchase the statistics disk from Strat-o-matic it would have all of this computed for you for many different statistics (AVG, OBP, SLG, Total Bases, strike out chances, homerun chances, etc) for every player in the set.

Is this an advert for the disk? No, but it does save a huge amount of time.

Now that you know how to do this, you may also compute:

  • On Base Percentage - (Hits + Walks + Hit-By-Pitch) divided by (At Bats + Walks+ Hit-By-Pitch)
  • Slugging Percentage - Number of (Singles + [2 x Doubles] +[ 3 x Triples] + [4 x Home Runs]) divided by At Bats
  • OPS - On Base Percentage + Slugging Average
  • and many other statistics
You can find a good list of the various statistical catagories at the following website
http://www.baseball-almanac.com/stats.shtml

If you have any questions, comments, suggestions, please feel free to drop me a line!