## THE MATH

FOR A LEVEL PLAYING FIELD

## Passing the ball

You always have a 2-in-3 (66%) chance of retaining the ball and passing it to one of your own players.

You always have a 1-in-3 (33%) chance of losing the ball to the opponent.

## Scoring goals

From a Striker, you have a 1-in-6 (16.5%) chance of getting a shot at goal.

When playing NORMAL difficulty, the goalie has a 1-in-3 chance of making a save and getting a goal kick; a 1-3 chance of making a save but giving away a corner; and a 1-in-3 chance of conceding the goal. I.e. you have a 1-in-18 (5.6%) chance of scoring a goal from the striker dots.

## Randomness

It is almost impossible to ever play two identical matches.

There is an average of 6.57 possible moves from every node on the Sokhazania board.

In a 15 min match, with a move being made every 4 seconds, there will be an average of 225 moves in total. This generates 10^183 possible outcomes for every match.

To put this number into perspective, scientists have calculated that there are only 10^80 atoms in the known Universe.

## Realistic scores

When playing a match in NORMAL mode with 225 moves on average, 2.8 goals will be scored per match. There is a 7.5% chance of the match ending goalless and a 3% chance of 6 or more goals being scored.

In EASY mode, there is a 42% chance that 3-4 goals will be scored and 3% chance that 8 or more goals will be scored.

In HARD mode, there is a 28% chance that the game will end goalless and only a 1% chance that 5 or more goals will be scored.

Professional soccer sees an average of 2.78 goals per match.

**AVERAGE NUMBER OF GOALS SCORED DURING A SOKHAZANIA MATCH**

EASY MODE

NORMAL MODE

HARD MODE