A company has two plants to manufacture scooters.Plant I manufactures 70% of the scooters and Plant II manufactures 30%.At Plant I,30% of the scooters are of standard quality and at Plant II,90% of the scooters are rated as of standard quality.A scooter is chosen at random and is found to be of standard quality.What is the probability that it has come from Plant II?

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.

In an examination.30% of students failed in Maths,20% of students failed in Chemistry and 10% of students failed in both Maths & Chemistry.A student is selected at random.Find the probability that (ii) The student has failed in Chemistry

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?

Read the following statements carefully and select the appropriate option given below. (i) It is possible to store pollen grains of a large number of species for years in liquid nitrogen (-196^(@)) . (ii) Cells of the nucellus have abundant reserve food materials. (iii) In a normal flower which opens and exposes the anthers and the stigma, complete autogamy is common. (iv) If both male and female flowers are present on the same plant, it prevents both autogamy and geitonogamy. (v) Cultivation of hybrids has tremendously increased productivity.