A manufacturer has three machine operators A,B and C. The first operator A produces `1%` defective items,whereas the other two operator B and C produce `5%` and `7%` defective items respectively. A is on the job for `50%` of the time,B is on the job 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 the machine B produced 40% of the items. Future 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 choosen at random from this and is found to be defective. what is the probability that it was produced by machine B ?

It is known that 10% of certain articles manufactured are defective . What is the probability that in a random sample of 12 such articles 9 are defective?

In a hostel 50% of the girls like tea, 40% like coffee and 20% like both tea and coffee A girl is selected at random. Find the probability that she likes neither tea or coffee .

There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item ?

In a factory which manufacture bulbs,machine X, Y and Z manufactures respectively 25%, 35% and 40% of the bulbs. Of the output 1%, 2% and 3% are respectively defective bulbs. A bulb is drawn at random and found to be defective. What is the probability that it is manufactured by machine Y ?

In a hostel 50% of the girls like tea, 40% like coffee and 20% like both tea and coffee.A girl is selected at random.If the girl likes tea,then find the probability that she likes coffee.

In a hostel 50% of the girls like tea, 40% like coffee and 20% like both tea and coffee .A girl is selected at random.If she likes coffee then find the probability she likes tea.

Match the related items from B and C with Column A.

A can hit a target 4 times in 5 shots.B three times in 4 shots,C two times in three shots.Calculate the probability that B,C may hit and A may lose.