Home
Class 12
MATHS
Suppose there are three bags such that ...

Suppose there are three bags such that
Bag A has 10 bulbs out of which 4 are defective.
Bag B has 6 bulbs out of which 1 is defective
Bag C has 8 bulbs out of which 3 are defective.
A bag is chosen at random and then a bulb is randomly chosen from the chosen bag.
(i) Find the probability that the bulbs is non-defective
(ii) If the bulb is non-defective, find the probability that it came from bag C?

Text Solution

AI Generated Solution

To solve the problem step by step, we will first find the probability that a randomly chosen bulb is non-defective, and then we will find the probability that it came from bag C given that it is non-defective. ### Step 1: Determine the total number of bulbs and non-defective bulbs in each bag. - **Bag A**: Total bulbs = 10, Defective bulbs = 4, Non-defective bulbs = 10 - 4 = 6 - **Bag B**: Total bulbs = 6, Defective bulbs = 1, Non-defective bulbs = 6 - 1 = 5 - **Bag C**: Total bulbs = 8, Defective bulbs = 3, Non-defective bulbs = 8 - 3 = 5 ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|42 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

A box contains 13 bulbs out of which 5 are defective. 3 bulbs are randomly drawn, one by one without replacement, from the box. Find the probability distribution of the number of defective bulbs.

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 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.

A box contains 100 bulbs out of which 10 are defective. A sample of 5 bulbs is drawn. The probability that none is defective , is

Three electric bulbs are chosen at random from 15 bulbs of which 5 are defective. The probability that atleast one is defective is

It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is (i) defective, (ii) non-defective?

A bag contains 3 white balls and 2 black balls, another contains 5 white and 3 black balls, if a bag is chosen at random and a ball is drawn from it. What is the probability that it is white ?

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 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: Exactly one defective bulb. Exactly two defective bulbs. No defective bulbs.

There are 3 white, 6 black balls in one bag and 6 white, 3 black balls in second bag. A bag is selected at random and a ball is drawn from it. Find the probability that the ball drawn is black.