From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs

Two cards are drawn successively with replacement from a pack of 52 cards. Find the probability distribution of the number of aces.

Five Defective bulbs are accidentally mixed with 20 good ones. It is not possible to just look at a bulb and tell whether or not it is defective. Find the probability distribution of the number of defective bulbs if 3 bulbs are drawn at random.

An urn contains 4 white and 3 red balls. Find the probability distribution of the number of red balls in a random draw of three balls.

A box contains 10 bulbs, of which just three,are defective. If a random sample of five bulbs is drawn, find the probabilities that the sample contains: i) exactly one defective bulb (ii)exactly two defective bulbs (iii) no defective bulbs.

Two cards drawn successively with replacement from a well shuffled pack 52 cards. Find the probability distribution of the number of kings.

A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other without replacement. Find the probability that both balls drawn from the bag are black.

Two cards are drawn at random . Without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

In a bulb factory, machine A,B and C manufactures 60%, 30% and 10% bulbs respectively. 1%, 2% and 3% of the bulbs produced by A, B and C respectively are defective. A bulb is drawn at random from the total production and found to be defective. Find the probability that this had been produced from machine A.