Discussion :: Probability
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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?
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A.
\( \frac { 1 } { 15 } \) |
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B.
\(\frac { 25 } { 57 } \) |
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C.
\(\frac { 35 } { 256 } \) |
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D.
\(\frac { 1 } { 221 } \) |
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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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