SOLUTION: The digits 1,2,3,4 and 5 are randomly arranged to form a 3 digit number. Digits r not repeated. Find probability that the number is even and greater than 500.

Algebra.Com
Question 1102947: The digits 1,2,3,4 and 5 are randomly arranged to form a 3 digit number. Digits r not repeated. Find probability that the number is even and greater than 500.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
The total space of events consists of 5*4*3 = 60  3-digit numbers, consisting of non-repeating digits  1, 2, 3, 4 and 5.


Of them, only those that start with 5 and end with 2 or 4 are even greater than 500.


If the last digit is "2", then the second digit is any of 1, 3, and 4  (3 possibilities).


If the last digit is "4", then the second digit is any of 1, 3, and 2  (3 possibilities).


In all, there are 3+3 = 6  of these "eligible" numbers.


The probability under the question is  = .


RELATED QUESTIONS

The digits 2, 3, 4, 5, 6, and 7 are randomly arranged to form a​ three-digit... (answered by solve_for_x)
the digits 4,5,6,7,8,9 are randomly arranged to form a three-digit number. (digits are... (answered by sudhanshu_kmr)
The digits 5,6,7,8 are randomly arranged to form a three digit number. (digits are not... (answered by Alan3354)
The digits 2, 3, 4, 5, 6, and 7 are randomly arranged to form a three-digit number.... (answered by Edwin McCravy)
the digits 1, 2, 3, 4, 5, and 7 are randomly arranged to form a six-digit number. Find... (answered by sudhanshu_kmr)
The digits 4,5,6,7 and 8 are randomly arranged to form a three digit number(Digits are... (answered by AnlytcPhil)
The digits 5,6,7,8 and 9 are randomly arranged to form a three digit number. (digits are (answered by Fombitz)
The digits 3,4,5,6,7, and 8 are randomly arranged to form a three-digit number. (Digits (answered by stanbon,Edwin McCravy)
The digits 1, 2, 3, 4, and 5 are randomly arranged to form a five-digit number. Find the... (answered by stanbon)