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. What is the probability that the ball is black?

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.

Three boxes of the same appearance have the following proportions of white and black balls- box I: 1 white and 2 black, box II : 2 white and 1 black, box III : 2 white and 2 black. One of the boxes is selected at random and one ball is drawn randomly from it. It turns out to be white. What is the probability that the third box is chosen ?

Three bags contain respectively 3 white, 2 red balls, 7 white, 3 red balls and 5 white, 3 red balls. If a bag is selected at random and one ball is drawn from it, what is the probability that it will be a white ball ?

A box contains 6 white balls and 4 black balls, A ball is drawn at random from the box. What is the probability that the ball is white.

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red?

A bag contains 2 red and 3 white balls and another bag contains 1 red and 2 white balls. If a bag is chosen at random and a ball is drawn from it, what is the probability that the ball is white ?

A box contains 3 black and 5 white ball and an another box contains 5 black and 3 white ball. Two same colour of ball is transferred from first box to second box and a ball drawn at random from second box. What is the probability that ball is black?

A bag contains 6 red, 8 black and 4 white balls. A ball is drawn at random. What is the probability that ball drawn is not black?

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is white?