10% of the bulbs produced in a factory are of red colour and 2% are red and defective. If one bulb is picked at random, determine the probability of its being defective if it red.

Three machinesE1, E2 and E3 in a certain factory producing electric bulbs, produce 50%, 25% and 25% respectively, of the total daily output of electric bulbs. It is known that 4% of the bulbs produced by each of machines E1 and E2 are defective and that 5% of those produced by machine E3are defective. If one bulb is picked up at random from a day’s production, calculate the probability that it is defective.

Three machinesE1, E2 and E3 in a certain factory producing electric bulbs, produce 50%, 25% and 25% respectively, of the total daily output of electric bulbs. It is known that 4% of the bulbs produced by each of machines E1 and E2 are defective and that 5% of those produced by machine E3are defective. If one bulb is picked up at random from a days production, calculate the probability that it is defective.

A factory has two machines A and B. Past records show that the 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 were defective and 1% produced by machine B were defective. If an item is drawn at random, what is the probability that it is defective?

A bag contains six red four green and eight white balls If a ball is picked at random the probability that it is not white is

In a batch of 10 light bulbs , 2 are defective . If 3 of the bulbs are chosen at random, what is the probability that at least 1 of the chosen bulbs is defective ?

A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

A bag contains 8 red, 3 white and 9 blue balls. If three balls are drawn at random, determine the probability that the ball is red.

(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?

An urn contains 60 blue pens and 40 red pens. Half of the each one is defective . If one pen is chosen at random , what is the probaility that it is a defective or a red pen ?

A lot of 25 bulbs contain 5 defective ones. One bulb is drawn at random from the lot. What is the probability that the bulb is good.