A machine has three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?

An aircraft has three engines A, B and C. The aircraft crashes if all the three engines fail. The probabilities of failure are 0.03, 0.02 and 0.05 for engines A, B and C respectively. What is the probability that the aircraft will not crash?

In a hospital, there are 5 dialysis machine. The chance of any one of them being defective during a day is 1/10 . Find the probability that two machines will be out of order on the same day. What is the probability that at least one machine is in working order? Is this situation alright for a small hospital?

A machine has fourteen identical components that function independently. It will stop workinng if three or more components fail. If the probability that a component fails is equal to 0.1, then the probability that the machine will be working is

A machine operates only when all of its three components function The probabilities of the failures of the first , second and third component are 0.2, 0,3 and 0.5 respectively . What is the probability that the machine will fail ?

A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third components are 0.14, 0.10 and 0.05 respectively. What is the probability that the machine will fail.

A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third components are 0.14,0.10 and 0.05 respectively. What is the probability that the machine will fail.

A machine has fourteen identical components that function independently.It will stop working if three or more components fail.If the probability that component fails is equal to 0.1,find the probability that the machine will be working.

In a bolt factory machines, A, B and C manufacture bolts in the ratio 6:3:1. 2%, 5% and 10% of the bolts produced by them respectively are defective. A bolt is picked up at random from the product and is found to be defective. What is the probability that it has been manufactured by machine A?

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