Two cards are randomly drawn from a well shuffled pack of 52 cards without replacement. The mean of, distribution of number of kings, is :
Answer & explanation
Correct answer: option 4
The correct answer is OPTION 4 - $\frac{2}{13}$
$\text{Total cards}=52.$
$\text{Number of kings}=4.$
$\text{Number of draws}=2.$
$\text{Mean of hypergeometric distribution}=n\frac{K}{N}.$
$n=2,\;K=4,\;N=52.$
$E(X)=2\cdot\frac{4}{52}.$
$=\frac{8}{52}.$
$=\frac{2}{13}.$
$\text{Mean}=\frac{2}{13}.$