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.

In a factory which manufactures bolts, machines A,B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs 5%, 4% and 2% are defective bolts. A bolt is drawn at random from the product and is found to be defective. What is probability that it is manufactured by the machine B ?

In a factory which manufacture bulbs,machine X, Y and Z manufactures respectively 25%, 35% and 40% of the bulbs. Of the output 1%, 2% and 3% are respectively defective bulbs. A bulb is drawn at random and found to be defective. What is the probability that it is manufactured by machine Y ?

A factory has two machines A and B. past record shows that machine A produced 60% of the items of output and the machine B produced 40% of the items. Future 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is choosen at random from this and is found to be defective. what is the probability that it was produced by machine B ?

Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

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

It is known that 10% of certain articles manufactured are defective . What is the probability that in a random sample of 12 such articles 9 are defective?

A company has two plants to manufacture scooters.Plant I manufactures 70% of the scooters and Plant II manufactures 30%.At Plant I,30% of the scooters are of standard quality and at Plant II,90% of the scooters are rated as of standard quality.A scooter is chosen at random and is found to be of standard quality.What is the probability that it has come from Plant II?

About 18% of the total production of dihydrogen is from coal. How is dihydrogen produced by a 'water-gas shift reaction'?