Answer:
C. 
Step-by-step explanation:
Given: Six cards numbered from
to
are placed in an empty bowl. First one card is drawn and then put back into the bowl then a second card is drawn.
To Find: If the cards are drawn at random and if the sum of the numbers on the cards is
, what is the probability that one of the two cards drawn is numbered
.
Solution:
Sample space for sum of cards when two cards are drawn at random is 
total number of possible cases
Sample space when sum of cards is
is 
Total number of possible cases 
Sample space when one of the cards is
is 
Total number of possible cases 
Let A be the event that sum of cards is 


Let B be the event when one of the two cards is 
probability than one of two cards is
when sum of cards is 


Now,
probability that sum of cards
is and one of cards is



if sum of cards is
then probability that one of the cards is
is
, option C is correct.