Answer:
C. 
Step-by-step explanation:
Given: Six cards numbered from  to
 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.
 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
, 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
 is 
Total number of possible cases 
Sample space when one of the cards is  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
 when sum of cards is 


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



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