what is the probability of getting a 4 digit perfect number

• What is the probability of obtaining a perfect square for 4-digit number...???
  This was the actual question asked.
  
  Soln: Total no of 4 digits that can be formed= 9*10*10*10=9000
  Smallest 4 digit number= 1000
  Largest 4 digit number = 9999
  Now we have to check how many numbers have their square falling under this range (1000 to 9999)
  
  (31)^2 = 961 1000
  So squares of number from 32 to 99 fall under this range.
  Total numbers= 68
  Total 4 digit numbers = 9000
  
  So, P(E)= 68/9000 =17/2250.
• 7 years agoHelpfull: Yes(9) No(2)
• There is only 1 four digits perfect number 8128( starting from 6, 28, 496, 8128). Total 4 digits number=9*10^3
  Probability=1/(9*10^3)
• 7 years agoHelpfull: Yes(4) No(5)