There are 10 cards numbered 1,2,3,.......10.
In them 6 cards are drawn without replacement.Find the probability that selected card has max number 7?

• it is given that without replacement
  so for the 1st card, the probability= 7/10
  similarly 2nd card, the probability= 6/9
  3rd card, the probability= 5/8
  etc..
  answer = 7/10 * 6/9 * 5/8 * 4/7 * 3/6 * 2/5 = 1/30
• 11 years agoHelpfull: Yes(29) No(1)
• (7/10)^6-(6/10)^6 is the answer
  
• 11 years agoHelpfull: Yes(9) No(5)
• 7C6/10C6
  getting any number except 8,9,10 is the ans..is it??
• 11 years agoHelpfull: Yes(8) No(0)
• max card should be 7.
  so possibilities are either 7,any 5 cards from (1-6) or cards from 1-6.
  
  case 1
  choosing card 7 has probability 7/10.
  now choosing other 5 cards from pack of 9 is 6/9 *5/8 * 4/7* 3/6*2/5
  so prob =7/10*6/9 *5/8 * 4/7* 3/6*2/5
  
  case2
  if 7 is not selected and only 1,2,3,4,5,6 were selected prob would be 6/10*5/9*4/8*3/7*2/6*1/5
  addingd both probabilities i think we would get the ans
• 11 years agoHelpfull: Yes(1) No(6)
• @ Susmitha ..
  If u will be asked like "Login to read solution"..again and again then just reload the page
  i have this problem...but when i do this it's ok !!
• 10 years agoHelpfull: Yes(1) No(0)
• can u explain it plzzz
• 11 years agoHelpfull: Yes(0) No(0)
• select the 7card and from remaining 6cards we must take 5 cards so, 6C5*6/(10*9*8*7)
• 11 years agoHelpfull: Yes(0) No(2)
• It says 'Please log in to read solution' while I'm trying to read te solution. This happens in cases of some problems. I'm already logged in. I can't get what i need to do. Plz help.
• 11 years agoHelpfull: Yes(0) No(4)
• I think ans is 36 bcz there are 3 towns for 1 zone and intra connections are 3.
  interconnections(i.e,direct lines not direct telephobe lines with other zones)=36.
  36 bcz for each zone has to communicate with 3 other zones hence 4zones 9 interconnections.Therefore(4*9=36)
• 11 years agoHelpfull: Yes(0) No(0)
• How, the probability of 1st card is = 7/10.
  It should be 1/10. Is it..???
• 10 years agoHelpfull: Yes(0) No(1)
• 7c6/10c6=1/30
  
• 10 years agoHelpfull: Yes(0) No(0)