Suppose three bulbs are selected at random from a lot. Each buib is tasted and classified as defective `(D)` or non- defective `(N)` Write the samespace or this experiment.

Suppose 3 bulbs are selected at randóm from a lot. Each bulb is tësted-and classified as defective (D) or non-defective (N): Write the,sample space of this experiment.

A box contains 10 bulbs, of which just three,are defective. If a random sample of five bulbs is drawn, find the probabilities that the sample contains: i) exactly one defective bulb (ii)exactly two defective bulbs (iii) no defective bulbs.

Suppose that a group of students consists of 3 boys namely G_1,G_2 and G_3 If two students are selected at random from the group, write the sample space.

A box contains 30 defective bulbs and 30 non-defective bulbs. Two bulbs are drawn at random. The event A and B are defined as follows. A:'first bulb is defective.' B: 'the second bulb is non defective.' Find probability of A and B. prove that A and B are independent events.

In a bulb factory, machine A,B and C manufactures 60%, 30% and 10% bulbs respectively. 1%, 2% and 3% of the bulbs produced by A, B and C respectively are defective. A bulb is drawn at random from the total production and found to be defective. Find the probability that this had been produced from machine A.

From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs