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?
1) 5/12
2) 1/13
3) 1/14
4) 1/12
5) 1/24

• (4) 1/12
  
  Total number of ribbons = 2 + 3 + 4 = 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
• 7 years agoHelpfull: Yes(8) No(0)
• Answer
  Required Probability = 3C2/9C2 = 1/12
• 7 years agoHelpfull: Yes(2) No(0)
• 2 Black , 3 Orange , 4 Pink
  P(Both Orange) = 3C2 / 9C2
  P(Both Orange) = 3 / 36 = 1 / 12
• 3 years agoHelpfull: Yes(0) No(0)