from a set of seven cards numbered 1 to 7 two cards are drawn at random find the probability that the sum of the numbers is 14?

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For getting an odd sum, we need a combination of Even+Odd or Odd+Even

So from 1–27; No. of odd numbered cards=14

No. of even numbered cards=13

Case1: Odd numbered card is drawn first

Probability = (14/27)*(13/26)= 7/27

Case2: Even numbered card is drawn first

Probability = (13/27)*(14/26)= 7/27

Hence probability of getting an odd sum = (7/27)+(7/27)= 14/27

What are the options?