A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?	Choose one.
A) 24/78	B) 24/709	C) 24/76	D) 24/71	E) 24/72
Explanation:   Total marbles in a box = 4 black + 3 red + 6 green marbles = 13 marbles   2 marbles are drawn from 13 marbles at random. Therefore,   n(S) = 13C2 = 78 ways   Let A be the event that 2 marbles drawn at random are of the same color. Number of cases favorable to the event 24/78 is   n(24/78) = 4C2 + 3C2 + 6C2 = 6 +3 + 15= 
<gadget id="calculator">6 +3 + 15</gadget>
<output>24</output>
24   Therefore, by definition of probability of event 24/78,   P(24/78)= n(24/78)/n(S) = 24/78   24/78NSWER:24/78
<result>A</result>
A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?