Home
Class 12
MATHS
10% of the bulbs produced in a factory a...

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(5)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos
  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (1 mark question)|10 Videos
  • MATRICES

    ARIHANT PRAKASHAN|Exercise Chapter Test ( 6 Mark Questions)|4 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |3 Videos

Similar Questions

Explore conceptually related problems

Three machines E 1, E 2, and E 3, 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 E 1, and E 2, are defective and that 5% of those produced by machine E 3, are defective. If one bulb is picked up at random from a day's production, then calculate the probability that it is defective.

In a bulb factory, machines A, B and C manufacture 60%, 30% and 10% bulbs, respectively. 1%, 2% and 3% of the bulbs produced, respectively by A, B and Care found to be defective. A bulb is picked up at random from the total production and found to be defective. Find the probability that this bulb was produced by machine A.

3 defective bulbs are mixed up with 7 good ones. 3 bulbs are drawn at random. Find the probability distribution of defective bulbs.

From a lot of 15 bulbs which include 5 defectives, a sample of 2 bulbs is drawn at random (without replacement). Find the probability distribution of the number of defective bulbs.

There are 20 defective bulbs in a box of 100 bulbs. If 10 balls are chosen at random what is the probability that there are just 3 defective bulbs

There are 20 defective bulbs in a box of 100 bulbs. If 10 balls are chosen at random what is the probability that there are at least 3 defective balls.

From a box containing 32 bulbs out of which 8 are defective 4 bulbs are drawn at random successively one after anoter with replacement. Find the probability distribution of the number of defective bulds.

A factory has two machines A and B. Past record shows that machine A produced 60% of items of output and machine B produced 40% of items. Further, 2% of items, produced by machine A and 1% produced by machine B were defective. All the items are put into a stockpile and then one item is chosen at random from this and this is found to be defective. What is the probability that it was produced by machine B?

In a factory, which manufactures bolts, machines A, B and C manufacture respectively 30%, 50% and 20% of the bolts. Of their outputs, 3%, 4% and 1% respectively are defective bolts. A bolt is drawn at random from the product and is found to be defective. Find the probability that this is not manufactured by machine B.