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.