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 defective. what is the probability that the defective bolt is produced by the machine X?

In a tape recorder factory, three machines A, B and C produced 25%, 35% and 40% respectively. The percentage of defective output of these machines are 5%, 4% and 2% respectively. A tape recorder is selected at random and is found to defective. Find the probability that tape recorder is produced by machine B .

ln a tape recorder factory, three machines A, B and C produced 40%, 30% and 20% of total production. The percentage of the defective output of these machines are 2%, 3% and 4% respectively. A tape recorder is selected at random and found to be defective. Find the probability that tape recorder is produced by machine C.

In a bolt factory, three machines A, B and C manufacturers 25 , 35 and 40 percent of the total bolts . Of their output 5 , 4 and 2 percent are defective respectively. A bolt is drawn at random and found to be defective. Find the probability that it was manufactured by machine B.

An item is manufacture by three machines A, B and C. out of the total number of items manufactured during a specified period, 50% are manufactures on A. 30% on B and 20% on C. 2% on the items produced on A and 2% of items produced on B are defective, and 3% of these produced on C are defective. All the items are stored at one godown. One item is drawn at random and is found to be defective. what is the probability that it is manufactured on machine A?

In a factory which manufactures bolts, machines A, B and C manufacture respectively 30%, 50% and 20% of the bolts. Of there outputs 3, 4, 1 percent respectively are defective bolts. A bolt is drawn at random from the product and is found to be defective. Find the probability that this is not manufactured by machine B.

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 2%, 5% and 10% respectively. A tape recorder is selected randomly and found to be defective, find the probability that it is produced by machine A.

In a bolt factory, three machines A, B and C manufacture 25, 35 and 40 per cent of the total bolts manufactured. Of their output, 5, 4, and 2 per cent are defective respectively. A bolt is drawn at random and is found to be defective. Find the probability that it was manufactured by either machine B.

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?