Given the on an average 20% of the product is defective the items are sold in consignment of 10 and it is guaranteed that not more than 1 item will be defective what is the probability that an item will fial to meet the guaranteed quality

Two items are chosen a lot containing 10 items of which 3 are defective,then the probability that at least one of them is defective:

Two items are chosen from a lot containing twelve items of which four are defective. Then the probability that atleast one of the item 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% ol 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:

There are 6 defective items in a sample of 20 items. One item is drawn at random. The that it is probability a non-defective item is

Two items are chosen from a lot containing twelve items of which four are defective, then the probability that at least one of the item is defective

Two items are chosen from a lot containing twelve items of which four are defective . Then the probability that atleast one of the item is defective is …………..

In a factory Machine-I produces 45% of the output and Machine -II 55% of the outuput. On the average 10% items produced by I and 5% of the items produced by II are deffective. An item is drawn at random from a day's output. (i) find the probability that it is a defective item (ii) if it id defective, what is the probability that it was produced by Machine-II ?

A factory has two machines and Il Machine produces 40% of items of the output and Machine Il produces 60% of the items. Further 4% of items produced by Machine are defective and 5% produced by Machine Il are defective. An item is drawn at random. If the drawn item is defective, find the probability that it was produced by Machine II. (See the previous example, compare the questions)