Q. If two cards are taken one after another without replacing from a pack of 52 cards what is the probability for the two cards be queen.

• 1/221 is the probability for two cards be queen.
  
  From 52 cards, we have to take 2 cards,
  n(s)=52C2
  = 52*51/2*1
  = 1326
  
  If both are queen from 4 queens is,
  n(E)= 4C2
  = 4*3/2*1
  =6
  
  P(E)=n(E)/n(S)
  =6/1326
  =1/221
• 12 years agoHelpfull: Yes(4) No(1)
• ans is (4/52)*(3/51).... 4/52 because firstly there are 4 queens in 52 cards then in (3/51) because 3 queens in 51 cards(as mentioned no replacement)
• 12 years agoHelpfull: Yes(2) No(0)
• 4/52 * 3/51
  4 queens total in 52 cards
  after first pick up
  3 queens and 51 cards will be remaing...so..4*3/52*51.
• 10 years agoHelpfull: Yes(1) No(0)
• 4c2/52c2=1/221
• 11 years agoHelpfull: Yes(0) No(0)
• Total Combination of getting a card from 52 cards= 52C1
  because there is no replacement.So number of cards after getting first card= 51
  Now,Combination of getting an another card= 51C1
  total combination of getting 2 cards from 52 cards without replacement= (52C1)*(51C1)
  There are total 4 queen in stack.Combination of getting 1 queen is=4C1
  because there is no replacement.So number of cards after getting first queen=3
  Combination of getting an another queen=3C1
  Total Combination of getting 2 queen without replacement=(4C1)*(3C1)
  Now,Probability of getting 2 cards which are queen=(4C1)*(3C1)/(52C1)*(51C1) = 1/221
• 9 years agoHelpfull: Yes(0) No(0)