There are 52 cards with each of the two boys. Each draws a card at random. What is the probability that (i)   both the card will be kings of diamond   (ii)   both will be diamonds   (iii)  both will be kings

Answer :  (i)  1/2704   (ii)  1/16   (iii)  1/169   ]

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Hi, Both have 52 cards.1;-there is only one diamond king FOR FIRST BOY PROBABILITY OF GETTING KING OF DIAMOND = 152 FOR second BOY PROBABILITY OF GETTING KING OF DIAMOND = 152 so probability that both the cards will be king of diamond= 152×152=127022;-there are 13 diamond cardsFOR FIRST BOY PROBABILITY OF GETTING  DIAMOND CARD = 1352=14 FOR second BOY PROBABILITY OF GETTING  DIAMOND CARD = 1352 =14so probability that both the cards will be diamonds= 14×14=1163;-there are 4 kings so FOR FIRST BOY PROBABILITY OF GETTING  4 kings= 452=113 FOR second BOY PROBABILITY OF GETTING 4 kings= 452 =113so probability that both the cards will be king= 113×113=1169

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