In a lot of 12 Microwave ovens, there are 3 defective units. A person has ordered 4 of these units and since each is identically packed, the selection will be random. What is the probability that i. all 4 units are good. ii. Exactly 3 units are good, iii. at least 2 units are good.

A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has (i) all boys? (ii) all girls? (iii) at least one girl?

A box contains 100 bulbs 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that: i. all 10 are defective ii. all 10 are good ii. at least one is defective iv. none is defective.

A basket contains 20 apples and 10 oranges out of which 5 apple and 3 orange are defective. If a person takes out 2 at random what is the probability that either both are apples or both are good?

A basket contains 20 apples and 10 oranges out of which 5 apples and 3 oranges are defective. If a person takes out 2 at random what is the probability that either both are apples or both are good?

Bulbs are packed in cartons each containing 40 bulbs, seven hundred cartons were examined for defective bulbs and the results are given in the following table. One carton was selected at random. What is the probability that it has i) no defective bulb? ii) defective bulbs from 2-6? iii) defective bulbs less than 4?

A room has 3 lamps . From a collection of 10 light bulbs of which 6 are no good , a person selects 3 at random and puts them in a socket . What is the probability , that he will have light ?

In a factory manufacturing certain spare parts 2% of the output is found defective . If spares are packed in 200 units , the probability that there are 4 defective spares in a pack is

Two vectors have magnitudes 3 unit and 4 unit respectively. What should be the angel between them if the magnitude of the resultant ils a. 1 unit, b. 5 unit and c. 7 unit.

Find the equation of the straight line parallel to Y - axis and at a distance (i) 3 units to the right (ii) 2 units to the left

In a bundle of 50 shirts, 44 are good, 4 have minor defects and 2 have major defects. What is the probability that : (ii) it is acceptable to a trader who rejects only a shirt with major defects ?