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probability

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Two cards are drawn from a pack of well shuffled deck of 52 cards one after the other withour replacement.The probability of first card being a spade and second a black king is

(1) 1/104

(2) 3/338

(3) 25/2652

(4) 26/2652
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there are two case the first black spade is king or not

case1: when it is king so probability will be 1/52 * 1/51

there will be 2 black kings but one is spade so when one spade king is selected then the next attempt will have only one king left

case2: when it is not king so probability will be 12/52 * 2/ 51

here 13 spades will be there but one is king so 12 fav cases and next attempt we can take 1 king from 2 black kings available

so adding them both 25/2652 is the answer
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