to enroll in courses, follow best educators, interact with the community and track your progress.
17 lessons,
3h 4m
Enroll
1.4k
Conditional Probability
2,299 plays

More
This lesson discusses the topic of conditional 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

U
Sir aap bahut aacha pada rahe hai aap ka live class kaha par chal raha hai
Bhanu prakash
10 months ago
delhi Paramount
Bhanu prakash
7 months ago
Sare lesson yahi dekh sakte hai
Sir can tell me total number of ways of distributing 12 coins among 3 beggers, according to me it must be 14C2 , but in jee main 2015 a question was asked in which we had to put 12 balls in 3 boxes , I saw many sllutions of that question in all the solutions total number of ways were 3^12 I guess this should be 3^12 should come when balls are diff
Vineet Loomba
8 months ago
Was it mentioned balls were identical?
Vikas Negi
8 months ago
Yes sir it was mentioned balls were identical
Vikas Negi
8 months ago
Sir can I have my answer
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. * Doubts/Feedback in Comment Section *Comment other topics you want to revise . Follow me @https://unacademy.com/user/vineet! unacademy omba to get updates * Share among your peers as SHARING is CARING!! Search " vineet loomba unacademy" on GOOGLE

3. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Conditional Probability PAnB) P(B) If A and B are two events, then P(A/B) Note that for mutually exclusive events P(A/B)0 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solved Example: If P(A/B) 0.2 and P(B) 0.5 and P(A) 0.2. Find P(A nB) P(A B ) = P(A)-P(A B) Also P(A/B)= Solution. PAnB) From given data, P(A B)=0.1 SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: Ifa pair of dice is thrown and it is known that sum of the numbers is even, then find the probability that the sum is less than 6. Solution: Let Abe the given event and let B be the event, whose probability is to be found Then Required probability P- PRAA) 1836 2 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)

6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solved Example: If P(A) 0.25, P(B) 0.5 and P(An B) 0.14, find probability that neither A' nor 'B occurs. Also find P AnB) Solution We have to find P AnB1-P(AuB)(by De-Morgan's law) Also, P(Au B) P(A) + P(B)-PAnB) putting data we get, P AnB) 0.39 The shaded region denotes the simultaneous occurrence of Aand B Hence PAnB) PA)-PAB)-0.11 SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Independent Events Two events A and B are said to be independent if occurrence or non-occurrence of one does not affect the occurrence or non-occurrence of the other, i.e., P(BA)-P(B), P(A)-0 P(B/A) = P(A) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: In drawing two balls from a box containing 6 red and 4 white balls without replacement, Find if the following pairs is independent? (a)Red on first draw and red on second draw (b) Red on first draw and white on second draw Solution Let E be the event 'Red on first draw' F be the event 'Red on second draw' and G be the event 'white on second draw' 4 PE(F). P(G)1 6 6 SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 6P2 1 PEN F)=10P = 3 (a) E and F are not independent SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

10. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 6 P(E) . P(G)=10 6 10-25 4 (b) 6P1 4P1 10p2 4 : 15 PENG) = . P(E) . P(G) P(E G) . E and G are not independent SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)