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Set Theory in Probability (in Hindi)
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This lesson discusses the application of set theory in probability

## Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 4 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

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your efforts are good but please explain more important facts related to upsc.The facts are not sufficient.
We have a time constraint of 15 minutes max.. and if i just dictate facts in that you can imagine how boring it would be. If you think that i am missing anything, do let me know i will make a separate lesson on that.
sir can you please give the solution of the second question
Q's ho gaya sir !
Vineet Loomba
6 months ago
Great !! Keep learning and sharing with others
sir 2nd problem answer is not coming
Vineet Loomba
9 months ago
where r u stuck
Mohak Bhatia
9 months ago
sir problem says find out that exactly one of a or b or c occur so i applied the formula no.3 which u have given in 1st slide i.e for exactly one out of 3 occuring. But still answer is not coming.
Ayush jha
9 months ago
The formula is for at least one , the question says exactly one
Keshav Verma
6 months ago
If you've got the answer for the 1st question then the second question is too easy. 1st question asks for probablity of 2 or 3 events occuring together which is 1/3. 2nd qustion asks for probablity of only 1 event occuring. Now probablity of 1, 2 or 3 events occuring together is 1 i.e P(AUBUC)=1, so probablity of only 1 event occuring is 1-(1/3)=2/3
Spandan Dash
6 months ago
Thanks Keshav
ok complete...
1. PROBABILITY FoR SURe SHoT SUcCESS IN JEE MAIN AND ADVANCED (IIT-JEE) JEE MAIN RANK BOOSTER COURSE PREPARED BY ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR

2. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B. Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. * Many of my students are pursuing courses in IITs, NITs, BITs etc unacademy Currently running my own Coaching Institute for JEE Main and Advanced Search vineet loomba unacademy on GOOGLE

3. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SET THEORY IN PROBABILITY A n B or AB represent the occurrence of both A & B simultaneously "Au B" or A B represent the occurrence of either A or B. (i) For two events A and B A B (a) Pat least one out of them) P(A) + P(B) PAnB) (b) P (exactly one out of them)-P(A)+ P(B)-2 P(AnB) For three events A, B and C P(at least one out of them) P(A) +P(B)+P(C)-P(AnB)-P(Bnc)-P(CnA)+P(AnBnc) (ii) P(A) 1-P(A) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) A An BnC nCnB CnBr SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example A bag contains 4 white, 3red and 4 green balls. A ball is drawn at random. Find the probability of the event the ball drawn is white or green Solution LetA be the event 'the ball drawn is white and B be the event the ball drawn is green' P(The ball drawn is white or green) 8 P (AuB)P(A) P(B) P(A n B) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example In throwing of a die, let A be the event 'an odd number turns up', B be the event 'a number divisible by 3 turns up' and C be the event 'a number s 4 turns up Then find the probability that exactly two of A, B and C occur Solution Event A = {1, 3, 5), event B = {3, 6} and event C = {1, 2, 3, 4} Thus P(exactly two of A, B and C occur) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Practice Yourself 1. n throwing of a die, let A be the event 'an odd number turns up', B be the event 'a number divisible by 3 turns up' and C be the event 'a number 4 turns up Then find the probability that atleast two of A, B and C occur. Answer 2. n above problem, find the probability that exactly one of A, B and C occurs. 2 Answer SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ENROL for this Course (Free) Enroll 439 Recommend Lessons (Like) E Rate and Review the Course .Comments . Sharing with friends 15 1. 68 111 ratings 21 reviews Share SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)