In his wardrobe, Dexter has three trousers. One of them is black the second is blue, and the third brown. In his wardrobe, he also has four 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 one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black? Choose the most appropriate option: A) 1/12 B) 1/6 C) 1/4 D) 1/2 E) None of these
Solution:   Probability that trouser is not black =2/3=2/3   Probability that shirt is not black =3/4=3/4   Required probability =2/3Ã—3/4=1/2   Answer is 1/2
<result>D</result>
In his wardrobe, Dexter has three trousers. One of them is black the second is blue, and the third brown. In his wardrobe, he also has four 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 one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?