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Question

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

Options:
A .   1 15
B .   25 57
C .   35 256
D .   1 221
Answer: Option D

Let S be the sample space.



Then, n(S) = 52C2 =
(52 x 51)
= 1326.
(2 x 1)


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



From A Pack Of 52 Cards, Two Cards Are Drawn Together At Ran... n(E) = 4C2 =
(4 x 3)
= 6.
(2 x 1)



From A Pack Of 52 Cards, Two Cards Are Drawn Together At Ran... P(E) =
n(E)
=
6
=
1
.
n(S)
1326
221

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