A box contains 6 white, 5 red and 8 white marbles. 5 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?  Choose the correct choice from the following.
A) 19/11628
B) 36/11628
C) 613/11628
D) 6113/11628
E) 63/11628
Explanation:   Total marbles in a box = 6 black + 5 red + 8 green marbles = 19 marbles   5 marbles are drawn from 19 marbles at random. Therefore,   n(S) = 19C5 = 11628 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) = 6C5+ 5C5 + 8C5 = 6 +1+ 56= 
<gadget id="calculator">6 +1+ 56</gadget>
<output>63</output>
63   Therefore, by definition of probability of event A,   P(A)= n(A)/n(S) = 63/11628   ANSW63/11628R:63/11628
<result>E</result>
A box contains 6 white, 5 red and 8 white marbles. 5 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?