## Vineet Loomba is teaching live on Unacademy Plus

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

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

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)

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

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)

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)

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)

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)