Last Updated on April 20, 2026 by Datanzee Team

Many managers assume:

“If we perform better in each individual metric, we must perform better overall.”

That sounds logical—but it is not always true.

Probability teaches an important lesson: you can outperform in separate categories and still underperform when categories are combined.

This idea matters in hiring, marketing, sales, training, customer success, and analytics.

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The Core Question

Suppose we compare two organizations:

• B = Business B
• C = Business C

Two performance indicators:

• A₁ = Employees skilled in Excel
• A₂ = Employees skilled in Python

Now imagine:

• Business B has a higher percentage of Excel-skilled employees than C
• Business B also has a higher percentage of Python-skilled employees than C

You would expect B to also have more employees with at least one useful skill.

But surprisingly, that may be false.

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100 Employee Example

Let’s compare two companies with 100 employees each.

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Company B

• 70 employees know Excel
• 70 employees know Python
• 60 employees know both

So the breakdown:

Skill Profile	Employees
Excel only	10
Python only	10
Both skills	60
Neither	20

Employees with at least one skill:

10 + 10 + 60 = 80

So:

• Excel skill rate = 70%
• Python skill rate = 70%
• At least one skill = 80%

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Company C

• 55 employees know Excel
• 55 employees know Python
• Only 10 know both

Breakdown:

Skill Profile	Employees
Excel only	45
Python only	45
Both skills	10
Neither	0

Employees with at least one skill:

45 + 45 + 10 = 100

So:

• Excel skill rate = 55%
• Python skill rate = 55%
• At least one skill = 100%

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Final Comparison

Metric	Company B	Company C
Excel Skilled	70%	55%
Python Skilled	70%	55%
At Least One Skill	80%	100%

Business B wins in both separate categories.

But Business C wins overall.

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Why This Happens

In Company B, the same talented people hold both skills.

In Company C, skills are spread across more employees.

So even though each individual skill rate is lower, more total people can contribute somewhere.

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Real Business Applications

1. Hiring Strategy

A company hires “superstar candidates” who can do everything.

Another company hires specialists:

• some great at analytics
• some great at design
• some great at sales

The second company may cover more functions across the organization.

Lesson:

Don’t only optimize for elite individuals. Optimize for total capability coverage.

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2. Marketing Channels

Company B gets:

• many customers from SEO
• many customers from email

But it is mostly the same audience engaging repeatedly.

Company C gets fewer from each channel individually, but reaches different audiences in each channel.

Result:

Company C reaches more unique prospects.

Lesson:

Measure audience overlap, not just channel totals.

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3. Sales Team Skills

Company B has reps who are all strong at both prospecting and closing.

Company C has:

• some strong prospectors
• some strong closers

C may cover pipeline stages more efficiently.

Lesson:

Balanced specialization can outperform duplicated talent.

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4. Customer Base Risk

Business B gets:

• many buyers from Region A
• many buyers from Product X

But many are the same customers.

Business C has lower counts in each category but more diversified customers overall.

Lesson:

Diversification reduces concentration risk.

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5. Startup Teams

One startup has 2 founders who both code and market.

Another startup has:

• one technical founder
• one sales founder
• one operations cofounder

The second team may execute broader functions better.

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The Probability Formula Behind It

The total with at least one trait is:

That last term is the overlap.

Large overlap can reduce total coverage.

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Management Mistake to Avoid

Many dashboards count:

• trained in Skill A
• trained in Skill B
• certified in Tool C

But fail to ask:

Are these the same people every time?

If yes, your organization may be less capable than the dashboard suggests.

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Better Metrics to Track

Use metrics like:

• unique skilled employees
• non-overlapping customer reach
• cross-functional coverage
• capability redundancy vs gaps
• concentration risk

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One-Line Takeaway

Winning every category does not guarantee winning overall when the same people appear in every category.

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Final Thought

Smart businesses do not just count strengths.

They count how strengths are distributed.