Home
Class 12
MATHS
Three factories A,B and C produce the sa...

Three factories A,B and C produce the same product. The factory A produces twice as many as B produces while the factories B and C produce in the same quantity. It is known that 2% of the products of A as well as C are defective while 4% of the products of B are defective. All the products of the three factories are stocked together.If a product is selected at random from the stock, what is the probability that the product is defective ?

Promotional Banner

Similar Questions

Explore conceptually related problems

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?

Which of the following reactions produce the same product?

Which of the following reactions produce the same product?

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.

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?

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