probability cards

[tytyros]

Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5
Official Answer : 2/5

[sushen.kumar]

Hi tyros,
there are five combinations in which we can draw 2 cards at random
(2,6)(3,5)(5,3)(6,2)(4,4)
and out of these five combinations 2 have 5 so the required probability would be 2/5.

[V_GMAT]

Agree with the explanation

V

[quickqwerty]

sushen.kumar, is there any other approach which can be followed to solve this type of questions?
As i feel that this will be a lengthy way if number of cards are more than 6.
Please let me know your views.