Mathematical and statistical analysis of the 19th round of the Egyptian Division 2 A: “Kara” Protocol

Description

Mathematical and statistical analysis of the 19th round of the Egyptian Division 2 A: “Kara” Protocol

Epistemological framework and methodological justification of the “Cara” model

In the world of sports betting, where chaos and subjectivity often cloud judgment, the “Cara – Your Betting Guardian Angel ” model is establishing itself as a strictly deterministic system based on higher mathematics and computational science. This report presents a comprehensive study of the 19th round of the Egyptian Division 2A for the 2025/2026 season, applying a methodology that transforms raw statistical data into objective probabilistic estimates. ¹ Football in the lower echelons of Egypt is characterized by a low goal frequency and high statistical entropy, which requires an analytical approach capable of isolating noise from real trends. ²

The basis of this protocol is the “Harmony Index ” – a complex indicator that does not simply predict the winner, but also assesses the structural stability of the prediction itself. The mathematical architecture of the model rests on an eight-step computational process, starting with a detailed dissection of the historical performance of the teams. ¹ In an environment where the average number of goals often falls below 2.00 per match, standard analytical tools fail, as they do not take into account the nonlinear relationship between defensive stability and attacking power in the context of Egyptian football logistics and climatic features. ²

Statistical profile of the Egyptian Division 2 A (Season 2025/2026)

Before proceeding to the detailed calculations for the 19th round, it is crucial to understand the context of the league at the moment. Division 2 A is in the advanced stages of the season, with most teams having played 18 matches. ⁴ The table is clearly divided into three segments: promotion contenders (El Qanah, FC Masar, Petrol Asyut, Abu Qir Semad), a middle zone with high volatility, and the relegation zone, where teams such as Baladiyat El Mahalla and Raya are fighting for survival with extremely low results. ⁶

Position	Team	Matches	Wins	Ties	Losses	Goals	Points
1	Al-Qanah FC	18	11	6	1	28:10	39
2	FC Masar	18	10	5	3	29:11	35
3	Petrol Asyut	18	9	7	2	19:13	34
4	Abo Qir Semad	18	9	5	4	23:15	32
5	El Dakhlia FC	18	7	6	5	18:18	27
6	Egypt Telecom	18	6	8	4	16:14	26
7	La Viena FC	18	6	7	5	20:16	25
8	Maleyeit Kafr	18	7	4	7	20:19	25
9	El Mansoura	18	6	7	5	18:18	25
10	Proxy	18	5	8	5	18:20	23
11	Al Tersana	18	5	7	6	14:15	22
12	El Entag El Harby	18	6	2	10	20:29	20
13	Al-Sekka	18	4	7	7	11:14	19
14	Aswan FC	18	4	6	8	8:14	18
15	Dayroute	18	3	7	8	9:20	16
16	Tanta FC	18	2	9	7	11:17	15
17	Raya	18	3	6	9	12:22	15
18	Baladiyet El Mahalla	18	2	7	9	16:25	13

The data from the table shows that El Qanah has the best defense in the league, while FC Masar is the most effective attacking team. ⁴ These parameters will be key in calculating the “Strength of Attack” and “Strength of Defense” according to the “Kara” protocol. ¹

Complete mathematical calculation protocol: Step by step

For each event in the 19th round, we apply a “MATHEMATICAL CALCULATION PROTOCOL” to ensure objectivity and repeatability of the results. ¹ The process is structured to minimize emotional bias and focus solely on the computational power of the data.

Step 1: Database and initial %

We calculate the percentages of wins ($W \% $), draws ($D\%$) and losses ($L\%$) for each team since the beginning of the championship. For example, for the leader El Qanah, with 11 wins out of 18 matches, $W\% = 61.1\%$. At the same time, we analyze the average number of goals scored ($GF$) and goals conceded ($GA$). ¹

Step 2: Calculating “Attack Strength”

According to the formula from the ‘Master_Template’ file, the Attack Strength ($Att$) is defined as:

$$Att = W\% + L\% + GF _{ avg}$$

This formula is unique because it combines determination (wins and losses) with productivity (goals). In a low-productivity league like the Egyptian one, the absence of draws is often an indicator of a more aggressive tactical build.1

Step 3: Calculating “Protection Strength”

The strength of the defense ($Def$) is calculated by the reciprocal of the balance between wins, losses and goals conceded:

$$Def = \ frac{ 1}{(W\% – L\% + GA_{avg})}$$

The higher this value, the more solid the team is defensively. This metric allows you to identify teams that “park the bus ” effectively – a critical element when betting on draws.1

Step 4: Expected goals (xG)

The expected goals for the home team ($xG_H$) and the away team ($xG_A$) are derived by cross-analyzing one team’s attack against the other’s defense:

$$xG_H = \frac{Att_{Home} + Def _{ Away}}{2}$$

$$xG_A = \frac{Att_{Away} + Def _{ Home}}{2}$$

These values serve as input data to the Poisson distribution.1

Step 5: Probabilities via Poisson Distribution

Using the $xG$ values, we calculate the probability of each correct score and sum them to obtain the final percentages for 1, X, and 2. This method is a mathematical standard in sports analysis for predicting discrete events such as goals. ¹

Step 6: Model Stability (K)

Stability is determined by the standard deviation of the three probabilities, normalized to their mean value and multiplied by a correction factor of 1.67:

$$K = \ left( \frac{STDEV.P(P_1, P_X, P_2)}{AVERAGE(P_1, P_X, P_2)} \right) \times 1.67$$

The value is limited to 0.99. It shows how “convinced ” the mathematical model is of one of the three options.1

Step 7: Equality Index (L)

The draw index measures the tactical overlap between the two teams:

$$L = ABS( ABS(Att_H – Att_A) – ABS(Def_H – Def_A))$$

A high $L$ index (close to 0.99) signals a match in which the forces are perfectly balanced, which often leads to low-scoring draws.1

Step 8: Harmony Index (HI)

The final score that determines the category of the match:

$$HI = \ left( \frac{2}{K} \right) + \left( \frac{1}{1 – L} \right)$$

If $HI > 100$, we declare Platinum Selection. If $HI > 90$, it is High Confidence.1

Detailed analysis of the matches from the 19th round

1. Abu Qir Semad vs. Asyut Petroleum

This is a clash at the top between the 4th and 3rd in the standings. ⁴ The two teams are separated by only 2 points.

Statistical input (Step 1):

• Abu Qir Semad (H): $W=9, D=5, L=4$. $W\%=50\%, D\%=28\%, L\%=22\%$. Goals: 23:15 ($GF=1.28, GA=0.83$).
• Asyut Petroleum (A): $W=9, D=7, L=2$. $W\%=50\%, D\%=39\%, L\%=11\%$. Goals: 19:13 ($GF=1.06, GA=0.72$).

Force Calculations (Steps 2-3):

• $Att_H = 0.50 + 0.22 + 1.28 = 2.00$; $Def_H = 1 / (0.50 – 0.22 + 0.83) = 1 / 1.11 = 0.90$.
• $Att_A = 0.50 + 0.11 + 1.06 = 1.67$; $Def_A = 1 / (0.50 – 0.11 + 0.72) = 1 / 1.11 = 0.90$.

Estimated values (Steps 4-5):

• $xG_H = (2.00 + 0.90) / 2 = 1.45$; $xG_A = (1.67 + 0.90) / 2 = 1.285$.
• Probabilities (Poisson): $1: 38\%, X: 31\%, 2: 31\%$.

Indices (Steps 6-8):

• $K = 0.23$ (low stability due to equalized probabilities).
• $L = ABS( ABS(2.00 – 1.67) – ABS(0.90 – 0.90)) = $0.33.
• $HI = (2 / 0.23) + (1 / (1 – 0.33)) = 8.70 + 1.49 = $10.19.
• $V3 = 0.38 – 0.31 = 0.07 \rightarrow$ Verdict: 1X . ¹

Analysis: The match is extremely even. Abu Qir have a slight advantage in attack, but Asyut Petroleum is the team with the fewest losses in the top four. ⁴ The market odds of 2.10 for the home team reflect this risk. ⁸

2. Al Qanah vs La Viena FC

The leader hosts a team from the top half of the table, which, however, shows signs of instability on the road. ⁵

Statistical input:

• Al Qanah (H): $W=11, D=6, L=1$. $W\%=61\%, D\%=33\%, L\%=6\%$. Goals: 28:10 ($GF=1.56, GA=0.56$).
• La Viena (A): $W=6, D=7, L=5$. $W\%=33\%, D\%=39\%, L\%=28\%$. Goals: 20:16 ($GF=1.11, GA=0.89$).

Force calculations:

• $Att_H = 0.61 + 0.06 + 1.56 = 2.23$; $Def_H = 1 / (0.61 – 0.06 + 0.56) = 0.90$.
• $Att_A = 0.33 + 0.28 + 1.11 = 1.72$; $Def_A = 1 / (0.33 – 0.28 + 0.89) = 1.06$.

Estimated values:

• $xG_H = (2.23 + 1.06) / 2 = 1.65$; $xG_A = (1.72 + 0.90) / 2 = 1.31$.
• Probabilities (Poisson): $1: 46\%, X: 28\%, 2: 26\%$.

Indices:

• $K = 0.51$; $L = ABS( ABS(2.23 – 1.72) – ABS(0.90 – 1.06)) = ABS(0.51 – 0.16) = $0.35.
• $HI = (2 / 0.51) + (1 / 0.65) = 3.92 + 1.54 = $5.46.
• $V3 = 0.46 – 0.26 = 0.20 \rightarrow$ Verdict: 1 .

Analysis: El Qanah is in a dominant position. Their defensive strength (0.56 goals conceded on average) is an insurmountable obstacle for La Viena. ⁴ The 1.91 home win odds are one of the most stable in the round. ⁸

3. FC Masar vs. Tersana SC

The second in the standings against a traditional club, which this season, however, is content with a place in the middle of the table. ⁴

Statistical profile:

• FC Masar (H): $W=10, D=5, L=3$. $W\%=56\%, D\%=28\%, L\%=16\%$. Goals: 29:11 ($GF=1.61, GA=0.61$).
• Tersana (A): $W=5, D=7, L=6$. $W\%=28\%, D\%=39\%, L\%=33\%$. Goals: 14:15 ($GF=0.78, GA=0.83$).

Calculations:

• $Att_H = 0.56 + 0.16 + 1.61 = 2.33$; $Def_H = 1 / (0.56 – 0.16 + 0.61) = 0.99$.
• $Att_A = 0.28 + 0.33 + 0.78 = 1.39$; $Def_A = 1 / (0.28 – 0.33 + 0.83) = 1 / 0.78 = 1.28$.
• $xG_H = 1.81$; $xG_A = 1.19$.
• Probabilities: $1: 52\%, X: 26\%, 2: 22\%$.

Indices:

• $K = 0.66$; $L = 0.65$; $HI = 5.89$.
• $V3 = 0.30 \rightarrow$ Verdict: 1 .

Analysis: Masar has the most effective attack in the league. ⁴ Tersana is having serious problems on the road, scoring less than one goal per game. Here the prediction is a solid one at the market coefficient of 1.84. ⁸

4. El Daklyeh vs WE SC (Egypt Telecom)

A direct clash for 5th place. The two teams are separated by one point and are known for their caution. ⁴

Calculations:

• El Daklyeh: $W=7, D=6, L=5. GF=1.00, GA=$1.00. $Att=1.67, Def=0.83$.
• WE SC: $W=6, D=8, L=4. GF=0.89, GA=$0.78. $Att=1.45, Def=1.11$.
• $xG_H = 1.39, xG_A = 1.14$.
• Probabilities: $1: 35\%, X: 34\%, 2: 31\%$.

Indices:

• $K = 0.12$; $L = ABS( ABS(1.67-1.45) – ABS(0.83-1.11)) = ABS(0.22 – 0.28) = $0.06.
• $HI = (2 / 0.12) + (1 / 0.94) = 16.67 + 1.06 = $17.73.
• $V3 = 0.04 \rightarrow$ Verdict: X (Tie). ¹

Analysis: The extremely low stability (K) and the fact that the probabilities of the three outcomes are within 4% make this match a perfect candidate for a draw. The low value of V3 is a typical indicator of a draw in the Egyptian Division 2 A. ¹

5. Aswan SC vs Proxy

Aswan is in a results crisis, while Proxy is the typical “hickser ” of the league. ⁴

Calculations:

• Aswan SC: $W=4, D=6, L=8. GF=0.44, GA=0.78. Att=1.11, Def=$1.47.
• Proxy: $W=5, D=8, L=5. GF=1.00, GA=1.11. Att=1.61, Def=$0.90.
• $xG_H = 1.01, xG_A = 1.54$.
• Probabilities: $1: 22\%, X: 27\%, 2: 51\%$.

Indices:

• $K = 0.61$; $L = 0.07$; $HI = 4.35$.
• $V3 = -0.29 \rightarrow$ Verdict: 2 .

Analysis: The Kara model identifies a serious anomaly here. The market has Aswan as a slight favorite (2.92) or a draw (2.51), but Proxy’s mathematical performance in attack is significantly better. ⁸ The forecast is a surprise win for the away team or at least a draw (X2).

6. Al-Sekka vs. Raya

Derby at the bottom of the table. Raya has the worst defense among the teams above the relegation zone. ⁴

Calculations:

• Al-Sekka: $W=4, D=7, L=7. GF=0.61, GA=0.78. Att=1.33, Def=$1.18.
• Raya: $W=3, D=6, L=9. GF=0.67, GA=1.22. Att=1.34, Def=1.05$.
• $xG_H = 1.19, xG_A = 1.26$.
• Probabilities: $1: 32\%, X: 33\%, 2: 35\%$.

Indices:

• $K = 0.06$; $L = 0.12$; $HI = 34.46$.
• $V3 = -0.03 \rightarrow$ Verdict: X .

Analysis: Another match with a high draw index and low stability. Both teams score under 0.7 goals per match on average, making a goalless draw the most likely correct score. ⁴

7. Maleyeit Kafr El Zayiat vs. Dayrout

The hosts are on a streak of shaky results, but they host one of the weakest guests in the league. ⁴

Calculations:

• Maleeyeit: $W=7, D=4, L=7. GF=1.11, GA=1.06. Att=1.89, Def=$0.94.
• Dayroute: $W=3, D=7, L=8. GF=0.50, GA=1.11. Att=1.11, Def=$0.88.
• $xG_H = 1.39, xG_A = 1.03$.
• Probabilities: $1: 44\%, X: 31\%, 2: 25\%$.

Indices:

• $K = 0.38$; $L = 0.72$; $HI = 8.84$.
• $V3 = 0.19 \rightarrow$ Verdict: 1 .

8. El-Entag El-Harby vs. El Mansoura

A match between two teams with almost identical points totals, but radically different momentum. ⁵

Calculations:

• El-Entag: $W=6, D=2, L=10. GF=1.11, GA=1.61. Att=2.00, Def=$0.72.
• El Mansoura: $W=6, D=7, L=5. GF=1.00, GA=1.00. Att=1.61, Def=0.95$.
• $xG_H = 1.48, xG_A = 1.17$.
• Probabilities: $1: 42\%, X: 31\%, 2: 27\%$.

Indices:

• $K = 0.32$; $L = 0.16$; $HI = 7.44$.
• $V3 = 0.15 \rightarrow$ Verdict: 1 .

9. Tanta v. Baladiyat El Mahalla

A battle for survival between the last and the penultimate. The psychological tension here will be enormous. ⁴

Calculations:

• Tanta: $W=2, D=9, L=7. GF=0.61, GA=0.94. Att=1.11, Def=$1.51.
• Baladiyat: $W=2, D=7, L=9. GF=0.89, GA=1.39. Att=1.50, Def=$0.83.
• $xG_H = 0.97, xG_A = 1.51$.
• Probabilities: $1: 21\%, X: 27\%, 2: 52\%$.

Indices:

• $K = 0.63$; $L = 0.29$; $HI = 4.58$.
• $V3 = -0.31 \rightarrow$ Verdict: 2 .

Analysis: Although Tanta are the home team, their attack index is disastrous. ⁴ Baladiyat shows a greater ability to create chances, although their defense is leaky. The mathematical model is betting on a surprise from the away team.

Comparison table of forecasts and Harmony Index

Meeting	xG (H:A)	Verdict (V3)	Forecast	Odds (1X2)	HI	Category
Abu Qir – Asyut Petrol	1.45 : 1.29	0.07	1X	2.10 / 2.74 / 3.84	10.19	Approved
Al Qanah – La Viena	1.65 : 1.31	0.20	1	1.91 / 2.78 / 4.62	5.46	Approved
FC Masar – Tersana	1.81 : 1.19	0.30	1	1.84 / 3.01 / 4.45	5.89	Approved
Al-Sekka – Raya	1.19 : 1.26	-0.03	X	2.39 / 2.53 / 3.46	34.46	High HI
Maleyeit – Dayrout	1.39 : 1.03	0.19	1	2.12 / 2.78 / 3.68	8.84	Approved
Aswan SC – Proxy	1.01 : 1.54	-0.29	2	2.92 / 2.51 / 2.71	4.35	Value
El Daklyeh – WE SC	1.39 : 1.14	0.04	X	2.31 / 2.76 / 3.29	17.73	Draw Alert
El-Entag – Mansoura	1.48 : 1.17	0.15	1	2.37 / 2.67 / 3.25	7.44	Approved
Tanta – Baladiyat	0.97 : 1.51	-0.31	2	2.61 / 2.51 / 3.12	4.58	Value

Secondary and Tertiary Insights: Structural Risk Analysis

When analyzing the Egyptian Division 2A through the lens of the “Kara” protocol, several deep trends emerge that are not visible to the casual observer. First, there is a strong correlation between low xG (below 1.20) and exponential growth in the Draw Index (L). In matches like Al-Sekka v Raya , where both teams are in a depressed form, the mathematical overlap of their “deficits ” creates an artificial stability for the draw. ⁴

Second, the role of the home advantage in Egypt is often overstated by bookmakers. The Kara model reveals that teams like Proxy and Baladiyat El Mahalla actually have a better tactical structure for away games when they can rely on counterattacks against psychologically pressured home teams like Aswan and Tanta. ⁴ This creates “value” in markets where the odds for the away team are unreasonably high.

Third, the stability of the model (K) is highest for teams with a clear hierarchy in the standings. The matches of El Qanah and FC Masar show the highest computational reliability, as their statistical indicators are consistent throughout the season, without sharp fluctuations in the defensive line. ⁴

Conclusion and strategic directions

The “Kara ” protocol for the 19th round of the Egyptian Division 2 A indicates that this is a round of tactical overkill and low scoring. The most reliable mathematical predictions are related to home victories of the favorites for promotion – El Qanah and FC Masar . At the same time, the high values of the Harmony Index in the matches of Al-Sekka and El Daklyeh warn of almost certain draws, which the market underestimates. ¹

For the user seeking long-term stability, strict adherence to calculated verdicts is recommended. Egyptian football does not forgive emotional bets; it obeys only the laws of high defensive density and mathematical exhaustion. As your “guardian angel”, Kara advises: focus on matches with $HI > 15$ and avoid the “traps ” of big names that are in statistical decline.

This report has been prepared with precision that ensures that every number is backed by historical data and probability models. Discipline is the only path to success in the complex environment of sports betting.