SoCal Scholastic Fencing League Individual Foil #1

Middle School Men's Foil

Sunday, October 19, 2025 at 1:00 PM

Harvard Westlake High School - Studio City, CA, USA

Probability density of pool victories

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Explore the pool victory probability density for each fencer, with their actual victories highlighted in a box. Learn more.

#	Name	Number of victories
#	Name	0	1	2	3	4	5	6
1	HUANG Nathan	-	-	-	1%	8%	34%	57%
2	LOPES-EASON Liam James	-	5%	20%	38%	30%	6%	-
3	FOO Kingston	3%	16%	32%	31%	15%	3%
3	ZHANG Yankai	-	3%	15%	33%	35%	14%
5	WANG Eason	-	1%	10%	32%	41%	16%
6	SHA Laien	-	2%	12%	31%	36%	17%	2%
7	LIN Sampson	-	1%	9%	30%	40%	19%	1%
8	JIN Yucheng	1%	9%	28%	37%	21%	4%
9	CHENG Alvin	14%	35%	34%	15%	2%	-
10	TRAN Andrew	-	5%	26%	39%	24%	6%	-
11	CHHATWAL Krishan Singh	-	-	-	3%	20%	47%	30%
12	CABATO Luca	5%	22%	36%	26%	9%	1%	-
13	WARD MADS	2%	17%	42%	30%	8%	1%
14	KWONG Colin	-	3%	19%	41%	30%	7%
15	MITCHELL Kallum	5%	24%	39%	26%	5%	-
16	KONO Kyle	-	-	4%	22%	44%	30%
17	BAN Jack	5%	34%	41%	17%	2%	-
18	DADGOSTAR Cyrus	-	-	11%	37%	39%	13%
19	ANDERSON Stellan	57%	34%	8%	1%	-	-	-
20	ZANDPOUR Wesley	5%	21%	35%	27%	10%	2%	-
21	MARLBOROUGH Lachlan	-	2%	13%	32%	36%	16%	2%
22	TECH Hubie	-	7%	25%	39%	24%	5%
23	ROLON Maximiliano	52%	38%	9%	1%	-	-
24	HIGASHI Warren	-	4%	20%	38%	30%	8%
25	MCGRUDER Cassius	1%	10%	30%	36%	19%	4%
26	HAN-SERVADIO Harrison	1%	9%	28%	36%	21%	5%
27	SCHWARTZ Walker	12%	32%	33%	17%	5%	1%	-
28	VILLALUNA Elijah	2%	11%	28%	34%	20%	5%	-
29	BIRKEMOE Philip	-	3%	16%	35%	32%	13%	2%
30	ROCHKIND Ethan	43%	42%	13%	2%	-	-
31	KARKLIN Gregory	14%	47%	31%	8%	1%	-
32	ELLIOTT Sage	7%	36%	39%	15%	3%	-	-

Explanation

The heatmap in this table provides a visual representation of the victory probability distribution for each fencer in their respective pools:

Each cell in a fencer's row corresponds to a specific number of victories, starting from the left with no victories and increasing to the right, indicating victories in all bouts.
The shading of each cell represents the probability of that particular victory outcome for the fencer. Darker shades indicate higher probabilities, suggesting that the outcome is more likely based on past performances. On the other hand, lighter shades point towards less probable outcomes.
The boxed number in a cell represents the actual number of victories the fencer achieved in the pool, making it easy to compare predicted probabilities with actual outcomes at a glance.
By examining the gradient from lighter to darker cells, you can get an intuitive sense of where a fencer's victories are more or less expected based on their historical performance.

This heatmap visualization offers an immediate understanding of each fencer's expected performance compared to their actual results.

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