Cards

Written on 11:21 pm by Vja Students

Two identical pack of cards A and B are shuffled thoroughly. One card is picked from A and shuffled with B. The top card from pack A is turned up. If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?

Answer

52 / 2703

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3 Comments

  1. Nitish | 5 November 2007 at 3:51 pm

    54/(52*53)

     
  2. Nitish | 5 November 2007 at 3:52 pm

    is dat correct??

     
  3. Anonymous | 5 November 2007 at 4:45 pm

    i think it is 52/(51*53)
    here there are 2 cases

    case 1:king of heart is picked picked from A
    in this case probability of of having the top card in B is king of hearts is (1/51)*(2/53)=2/2703

    case 2.king of heart is not picked from A
    in this case probability of of having the top card in B is king of hearts is (50/51)*(1/53)=50/2703

    so the total chances=(2/2703)+(50/2703)
    =52/2703

     

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