Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

Two cards are randomly drawn from a well shuffled pack of 52 cards without replacement. The mean of, distribution of number of kings, is : 

Options:

$\frac{33}{221}$

$\frac{4}{13}$

$\frac{1}{13}$

$\frac{2}{13}$

Correct Answer:

$\frac{2}{13}$

Explanation:

The correct answer is OPTION 4 - $\frac{2}{13}$

$\text{Total cards}=52.$

$\text{Number of kings}=4.$

$\text{Number of draws}=2.$

$\text{Mean of hypergeometric distribution}=n\frac{K}{N}.$

$n=2,\;K=4,\;N=52.$

$E(X)=2\cdot\frac{4}{52}.$

$=\frac{8}{52}.$

$=\frac{2}{13}.$

$\text{Mean}=\frac{2}{13}.$