Suppose we have four boxes A, B, C and D containing coloured marbles as given below :

One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A?, box B ?, box C ?

A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

Numbers of balls in three boxes are as follows. One box is selected of random and two balls are drawn which are of red colour and white colour each. What is the probability that selected ball is of from box 1 ?

Let n_1, and n_2 , be the number of red and black balls, respectively, in box I. Let n_3 and n_4 ,be the number one red and b of red and black balls, respectively, in box II. One of the two boxes, box I and box II, was selected at random and a ball was drawn randomly out of this box. The ball was found to be red. If the probablity that this red ball was drawn from box II is 1/3 then the correct option(s) with the possible values of n_1, n_2, n_3, and n_4 , is(are)

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn as red.

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that (i) all will be blue ? (ii) at least one will be green ?

A box contains 3 blue, 2 white, and 4 red marbles. If a marble is selected at random from the box, what is the probability that it will be (i) white? (ii) blue? (iii) red?

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be ( 1 ) red ? ( 2 ) white ? ( 3 ) not green?

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? (ii) white ? (ii) not green?