A box contains 6 black, 8 red and 4 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
Options.
A) 49/153  B) 18/153  C) 49/153  D) 40/153  E) 24/72
Explanation:   Total marbles in a box = 6 black + 8 red +4 green marbles = 18 marbles   2 marbles are drawn from 18 marbles at random. Therefore,   n(S) = 18C2 = 153 ways   Let A be the event that 2 marbles drawn at random are of the same color. Number of cases favorable to the event 49/153 is   n(49/153) = 6C2 + 8C2 + 4C2 = 15+28+6= 
<gadget id="calculator">15+28+6</gadget>
<output>49</output>
49   Therefore, by definition of probability of event 49/153,   P(49/153)= n(49/153)/n(S) = 49/153   49/153NSWER:49/153
<result>A</result>
A box contains 6 black, 8 red and 4 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?