CA Foundation Exam  >  CA Foundation Questions  >  A bag contains 2 red and 1 green ball. Anothe... Start Learning for Free
A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;?
Most Upvoted Answer
A bag contains 2 red and 1 green ball. Another bag contains 2 red and ...
Solution:

Given,
- Bag 1 has 2 red and 1 green ball.
- Bag 2 has 2 red and 2 green balls.

Let A be the event of selecting bag 1 and B be the event of selecting bag 2. Let R be the event of drawing a red ball.

We need to find the probability that bag 1 was selected given that a red ball was drawn. This can be represented as P(A|R).

Using Bayes' theorem, we have:

P(A|R) = P(R|A) * P(A) / P(R)

We need to calculate the probabilities P(R|A), P(A) and P(R).

Calculating P(R|A):
The probability of drawing a red ball from bag 1 is given by:
P(R|A) = 2/3

Calculating P(A):
The probability of selecting bag 1 is given by:
P(A) = 1/2

Calculating P(R):
The probability of drawing a red ball can be found by using the law of total probability:
P(R) = P(R|A)*P(A) + P(R|B)*P(B)

We need to find P(R|B) first. The probability of drawing a red ball from bag 2 is given by:
P(R|B) = 2/4 = 1/2

The probability of selecting bag 2 is given by:
P(B) = 1/2

Therefore,
P(R) = (2/3)*(1/2) + (1/2)*(1/2) = 7/12

Now, we can calculate P(A|R) using the formula:

P(A|R) = (2/3)*(1/2) / (7/12) = 4/7

Therefore, the probability that bag 1 was selected given that a red ball was drawn is 4/7.
Explore Courses for CA Foundation exam
A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;?
Question Description
A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;?.
Solutions for A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;? defined & explained in the simplest way possible. Besides giving the explanation of A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;?, a detailed solution for A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;? has been provided alongside types of A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;? theory, EduRev gives you an ample number of questions to practice A bag contains 2 red and 1 green ball. Another bag contains 2 red and 2 green balls. A bag was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from bag one is;? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev