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16. Four cards are drawn at a time from a pack of 52 playing cards. Find the probability ofgetting all the four cards of the same suit |
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Answer» Total No. Of cards =52 No.Of cards for each suit = 13 Total types Of French suit = 4(hearts,spades, diamonds,clubs) Prob. = Conditional case /total case For this conditional case of selecting all four same suit,it can be either hearts or spades or clubs or diamonds So Total no. Of conditional case= no. of case of selecting all four cards of hearts suit +no.of case of selecting all four cards of spades suit +no.of case of selecting all four cards of clubs suit + no. of case of selecting all four cards of diamonds suit. = 13C4+13C4+13C4+ 13C4 =4*(13C4)=2860 Total no. of case= 52C4=270725 So, probability of getting all four cards of the same suit=2860/270725 Like my answer if you find it useful! |
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