Three cards are drawn successively, without replacement from a pack of 52 well shuffied cards. What is the probability that first, second and third cards are jack, queen and kind, respectively ?
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Let events J be first drawn card is jack, Q be second drawn card is queen and K be third drawn card is king. We have to find the value of `P(JnnQnnK)` Now,` P(JnnQnnK)=P(J)xxP(Q//J)xxP(K//(JnnQ))` `P(J)=4/52=1/13` P(Q/J)=P (drawing queen card if jack card has been drawn) = `1/51` `P(K//(JnnQ))=P` (drawing king card if jack and queen cards have been drawn) `=4/50=2/25` `So, P(JnnQnnK)=P(J)xxP(Q//J)xxP(K//(JnnQ))` `=1/13xx4/51xx2/25`
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