🎱 Hypergeometric Distribution: Urn Experiment
The Problem:
We have an urn with N balls (M red, N-M green). We draw K balls at once without replacement. What's the probability of getting exactly x red balls?
Total Balls (N)
50
Red Balls (M)
20
Sample Size (K)
10
Target Red Balls (x)
4
Run Single Experiment
Original Urn
Red:
20
| Green:
30
Sample Drawn
Red:
0
| Green:
0
Probability of exactly
4
red balls:
P(X =
4
) =
0.0000
Expected Red Balls
0.00
E[X] = K × M/N
Variance
0.00
Var[X] = K × (M/N) × (1-M/N) × (N-K)/(N-1)
Most Likely Outcome
0
Mode of the distribution
Run 1000 Simulations