Probability - Arithmetic Aptitude Questions and Answers

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From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

$\frac { 1 } { 15 }$

$\frac { 25 } { 57 }$

$\frac { 35 } { 256 }$

$\frac { 1 } { 221 }$

Answer : Option D

Explanation :

Let S be the sample space.

Then, n(S) = ⁵²C₂ = $\frac { (52*51) } {( 2 *1)}$ = 1326

Let E = event of getting 2 kings out of 4.

n(E) = ⁴C₂ = $\frac { (4*3)} {( 2 *1)}$ = 6

P(E) = $\frac {n(E) } { n(S) }$ = $\frac { 6 } { 1326 }$ = $\frac { 1 } { 221 }$

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