In his wardrobe, Pawan has 3 trousers. One of them is black, the other is blue, and the third is brown. In the wardrobe, he also has 4 shirts. One of them is black and the other 3 are white. He opens his wardrobe in the dark and picks out one shirt and trouser pair without examining their color. What is the likelihood that neither the shirt nor the trouser is black ?
Option
1) 1⁄12
2) 1⁄6
3) 1⁄4
4) 1⁄2

• total 3 trousers in that,
  no of black trousers =1
  total shirts=4
  no of black shirts=1
  therefore,possibilty of picking trouser is black= 1/3
  probability of choosen shirt is not black=1-1/3=2/3
  possibilty of picking shirt is black=1/4
  possibilty of picking shirt is not black=1-1/4=3/4
  neither of them is black is =(2/3)*(3/4)=1/2
  so answer is 1/2
• 10 years agoHelpfull: Yes(39) No(4)
• 1/2
  
  prob(getting black trouser) = 1/3
  prob (not getting black trouser) = (1- 1/3) = 2/3
  prob(getting black shirt) = 1/4
  prob(not getting black shirt) = (1-1/4)=3/4
  req. prob = (2/3)(3/4)=1/2
• 10 years agoHelpfull: Yes(7) No(0)
• blck,blue,brwn black,3 white
  -------------- ----------------
  3 trousers 4 shirts
  
  2/3 is the probability for picking blue,brwn from 3 trusers
  3/4 is prob of picking 3 white out of 4 shirts
  total prob = 2/3*3/4=1/2
  prob of not picking black is 1-1/2=1/2
• 10 years agoHelpfull: Yes(3) No(0)
• 2c1/3c1*3c1/4c1=1/2
• 9 years agoHelpfull: Yes(2) No(0)
• 1/6
  as the probability for no black shirt is 1/3
  and that of no black trouser is 1/2
  1/3*1/2
  
• 10 years agoHelpfull: Yes(1) No(2)
• 1/2 is right option
• 10 years agoHelpfull: Yes(0) No(0)
• (1-1/3)*(1-1/4)=6/12=1/2
• 9 years agoHelpfull: Yes(0) No(0)
• here it is asking for trouser pair..so if we make combination of trouser then (black,blue) (blue,brown) (brpwn,black)
  so probablity that trouser is not black is (1/3)
  probablity that shirt is not black is(3/4)
  final answer: (1/3)*(3/4)=(1/4)
  
• 9 years agoHelpfull: Yes(0) No(0)
• probability of not selecting black trousers= (2/3)
  Probability of not selecting black shirt= (3/4)
  Ans: (2/3)*(3/4)=1/2
• 9 years agoHelpfull: Yes(0) No(0)
• 2c1*3c1/3c1*4c1=1/2
• 5 years agoHelpfull: Yes(0) No(0)