A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the tune, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?

A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 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 chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?

A factory has three machines A, B, and C. Producing 100, 200 and 300 bolts per day respectively. The machine A produces 1% defective bolts, B produces 2& defective bolts and C produces 2% defective bolts. At the end of the day, a bolt is drawn at random and it is found to be defective. What is the probability that this defective bolt has been produced by machine C?

A factor has three machines A, B and C, which produce 100,200, and 300 items of a particular type daily. The machines produce 2%, 3% and 5% defective items respectively. One day when the production was over, an item was picked up randomly and it was found to be defective. Find the probability that it was produced by machine A.

In a certain factory, machines A, B and C produce bolts. Of their production. machines A. B. and c produce 2% 1 % and 3% defective bolts respectively. Machine A produces 35 % of the total output of bolts. machine B produces 25% and machine C produces 40% A bolts is chosen at random from the factory's production and is found to be defective. The probability it was produced on machine C is

A factory A produces 10% defective valves and another factory B produces 20% defective valves. A bag contains 4 valves of factory A and 5 valves of factory B. If two valves are drawn at random from the bag, find the probability that at least one valve is defective.

Three machines A, B, C produce respectively 50%, 30%, and 20% of the total no. of items of a factory. The % of defective outputs of these machines is 3%, 4%, 5% respectively. If an item is selected at random, (i) what is the probability that it is defective?

A factory has two machines A and B. Past records show that the machine A produced 60% of the items of output and machine B produced 40% of the items further 2% of the items produced by machine A were defective and 1% produced by machine B were defective. If an item is drawn at random, what is the probability that it is defective?

A factory has three machines X, Y, and Z producing 1000, 2000 and 3000 bolts per day respectively. the machine X produces 1% defective bolts, Y produces 1.5% and Z produces 2% defective bolts. At the end of a day, a bolt is drawn at random and is found to be defective. What is the probability that this defective bolt has been produced by machine X?

In a tape recorder factory three machines A, B and C produced 50%, 30% and 20% of total production. The percentage of the defective output of these machines are 3%, 4% and 5% respectively. A tape recorder is selected randomly and found to be defective, find the probability that it is produced by machine A.