Variance of hearts in eight cards

Eight cards are dealt from a standard $52$ -card deck. What is the variance of the number of hearts dealt?

Show hints (2)+

Hearts dealt is hypergeometric ( $N=52, K=13, n=8$ ).
$\operatorname{Var}=n\tfrac{K}{N}\tfrac{N-K}{N}\tfrac{N-n}{N-1}=1.5\cdot\tfrac{44}{51}$ .

Answer

Reveal answer →

2.588 (± 0.01)

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