Two cards are randomly drawn from a well shuffled pack of 52 cards without replacement. The mean of, distribution of number of kings, is : |
$\frac{33}{221}$ $\frac{4}{13}$ $\frac{1}{13}$ $\frac{2}{13}$ |
$\frac{2}{13}$ |
The correct answer is OPTION 4 - $\frac{2}{13}$ $\text{Total cards}=52.$ $\text{Number of kings}=4.$ $\text{Number of draws}=2.$ $\text{Mean of hypergeometric distribution}=n\frac{K}{N}.$ $n=2,\;K=4,\;N=52.$ $E(X)=2\cdot\frac{4}{52}.$ $=\frac{8}{52}.$ $=\frac{2}{13}.$ $\text{Mean}=\frac{2}{13}.$ |