A box contains 4 black, 3 red and 6 green marbles. 3 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?	Answers:
A) 24/286
B) 25/709
C) 25/286
D) 24/268
E) 24/226
Explanation:   Total marbles in a box = 4 black + 3 red + 6 green marbles = 13 marbles   3 marbles are drawn from 13 marbles at random. Therefore,   n(S) = 13C3= 286 ways   Let A be the event that 2 marbles drawn at random are of the same color. Number of cases favorable to the event A is   n(A) = 425/2863 + 325/2863+ 625/2863 = 4 +1 + 20= 
<gadget id="calculator">4 +1 + 20</gadget>
<output>25</output>
25   Therefore, by definition of probability of event A,   P(A)= n(A)/n(S) = 25/286   ANSWER:25/286
<result>C</result>
A box contains 4 black, 3 red and 6 green marbles. 3 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?