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Hypergeometric Distribution Explorer


Modify Parameters and See Results

Sampling without replacement from a finite population

Parameters

Population Size (N)
50

Total number of items in the population

Success States (K)
20

Number of items with the desired characteristic in the population

Number of Draws (n)
10

Number of items drawn without replacement

Proportion of Successes (K/N)
0.400

Proportion of success items in the population

Statistics

Expected Value
4.0000
Variance
1.9592
Std Deviation
1.3997
Mode
4

Probability Calculator

Key Properties

Real-World Applications

  • Drawing cards from a deck without replacement (e.g., number of aces in 5 cards)
  • Quality control: selecting items from a batch without replacement
  • Lottery: choosing winning numbers from a finite set
  • Sampling defective items from a production lot
  • Drawing colored balls from an urn without replacement







Understanding the Distribution


Key Parameters


Applications