Three boxes numbered, I, II, III contain balls as follows
`{:(,"White","Black","Red"),(I, 1,2,3),(II, 2,1,1),(III, 4 ,5, 3):}`
One box is randomly selected and a ball is drawn from it. If the ball is red, then the probability that it is from box II.

Three boxes numbered I,II,III contain the balls as follows. One box is randomly selected and a ball is drawn from it. If the ball is red, then find the probability that it is from box II.

Three boxes numbered I, II, III contain the ball as follows One box is randomly selected and a ball is drawn from it. If the ball is red, then find the probability that it is from box Il.

Three boxes numbered I,II,III contains the balls as follows : One box is randomly selected and a ball is drawn from it . If the ball is red , then find the probability that it is from box II .

Three boxes of the same appearance have the following proportions of black and white balls : Box I-5 black and 3 white, Box II-6 black and 2 white: BoxIII-3 black and 5 white, one of the boxes is selected at random and one ball is drawn randomly from it. Given that the ball is black, find the probability that it came from Box III.

Three boxes of the same appearance have the following proportions of black and white balls : Box-I -5 black and 3 white, Box-II-6 black and 2 white. Box-III-3 black and 5 white. One of the box is selected at random and one ball is drawn randomly from it. Given that the ball is black, find the probability that it came from Box-III.

(a) (i) Bag I contains 5 red and 3 black balls, Bag II contains 6 red and 5 black balls. One bag is chosen at random and a ball is drawn which is found to be black. Find the probability that it was drawn from Bag I, (II). (ii) Bag I contains 3 red and 5 white balls and bag II contains 4 red and 6 white balls. One of the bags is selected at random and a ball is drawn from it. The ball is found to be red. Find the probability that ball is drawn from Bag II. (b) Bag I contains 4 black and 6 red balls, bag II contains 7 black and 3 red balls and bag III contains 5 black and 5 red balls. One bag is chosen at random and a ball is drawn from it which is found to be red. Find the probability that it was drawn from bag II.

A box contains 7 red, 3 white and 2 black balls, when a ball is picked up at random from the box find the probability that, i) It is red ii) it is not red

Coloured balls are distributed in four boxes as shown in the following table: Box Colour Black White Red Blue I II III IV 3 2 1 4 4 2 2 3 5 2 3 1 6 2 1 3 A box is selected at random and then a ball is randomly drawn from the selected box. The colour of the ball is black, what is the probability that ball drawn is from the box III.