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Questions  >>  CBSE XII  >>  Math  >>  Probability
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Q)

Four cards are successively drawn with out replacement from a deck of 52 playing cards.What is the probability that all the four cards are kings?

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A)
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  • In a pack of 52 cards there are 4 Kings
  • If 4 cards are drawn is that replacement
  • A defined as all 4 cards are Kings
  • \(K_I\) =getting King in( i)drawn
  • AS (\(k_1\)\(\cap\)\(K_2\)\(\cap\)\(K_3\)\(\cap\)\(K_4\)\(\cap\)) are independent events
P(\(K_1\))=\(\large\frac{4}{52}\)
P(\(K_2\))=\(\large\frac{3}{51}\)
P(\(K_3\))=\(\large\frac{2}{50}\)
P(\(K_4\))=\(\large\frac{1}{49}\)
P(A)=\(\large\frac{4}{52}\times\)\(\large\frac{3}{51}\times\)\(\large\frac{2}{50}\times\)\(\large\frac{1}{49}\)
=\(\large\frac{1}{270725}\)

 

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