A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.

A box contains 3 orange balls, 3 green and 2 blue balls. Three balls are drawn at random from the box wihout replacement. The probability of drawing 2 green balls and one blue ball is

Four defective oranges are accidently mixed with 16 good ones and by looking at them it is not possible to differentiate between them. Three oranges are drawn at random from the lot. Find the probability distribution of X, the number of defective oranges.

A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball ?

A box B_(1) contains 1 white ball, 3 red balls, and 2 black balls. An- other box B_(2) contains 2 white balls, 3 red balls and 4 black balls. A third box B_(3) contains 3 white balls, 4 red balls, and 5 black balls. If 2 balls are drawn (without replecement) from a randomly selected box and one of the balls is white and the other ball is red the probability that these 2 balls are drawn from box B_(2) is

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 of red and black ball respctively, in box II.: One of the two boxes , box I andbox II, was selected at random and a ball was drawn randomly out of this box. The ball was found to be red. If the probability 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):

If from each of the three boxes containing 3 whiter and 1 black, 2 white and 2 black, 1 white and 3 black ball, one bal is drawn at random, then the probability that 2 white and 1 black ball will be drawn is

A box contains 16 bulbs out of which 4 bulbs are defective. 3 bulbs are drawn one by one from the box without replacement. Find the probability distribution of the number of defective bulbs.

A box contains 100 tickets each bearing one of the numbers from 1 to 100. if 5 tickets are drawn successively with replacement from the box, find the probability that all the tickets bear numbers divisible by 10.

A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball ? If 6 more balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x .