Hypergeometric Distribution Calculator - PMF

 

 

• N is the population size,
• K is the number of success states in the population,
• n is the number of draws,
• k is the number of observed successes,

See the Statistical Distributions Overview page for more statistical distribution calculators.

Example

(From the Wikipedia poker example)

There are 4 clubs showing so there are 9 still unseen. There are 5 cards showing (2 in the hand and 3 on the table) so there are 52−5=47 still unseen.

The probability that neither of the next two cards turned are clubs can be calculated using hypergeometric with k=0,n=2,K=9 and N=47 (about 65.0%)

Value	Keystrokes	Display	Description
47	N	47.00	Stores the N value.
9	K	9.00	Stores the K value.
2	n	2.0	Stores the n value.
0	k	0.00	Stores the k value.
	pmf	0.6503	Calculates the pmf.

Reference:

Hypergeometric distribution - Wikipedia