A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at random. What is the probability that both are orange?
Choose the correct choice from the following choices
A) 5/12 B) 1/13 C) 1/14 D) 1/12 E) 1/24
Total number of ribbons = 2 + 3 + 4= 
<gadget id="calculator">2 + 3 + 4</gadget>
<output>9</output>
9   Let S be the sample space.   n(S)= Total number of ways of drawing 2 ribbons out of 9 = 9C2   Let E = Event of drawing 2 orange ribbons.   n(E) = Number of ways of drawing 2 orange ribbons= 3C2   P(E)=n(E)/n(S)=3C2/9C2 =(3*2/2) / (9*8/2) =3/36 =1/12   ANSWER:1/12
<result>D</result>
A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at random. What is the probability that both are orange?