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Questions on Classical Probability (in Hindi)
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This lesson discusses the classical definition of probability. Also examples on mutually exclusive events and exhaustive events have been discussed. The lessons is concluded with examples on classical probability

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 2.6 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

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Welcome
sir i can't understand 6!7! plzz explain in easy way
sir i need suggestion that now i have approxymately completed my. syllabus . but reality is that i didn't practiced much questions . now . i will manage school exam easily. for jee i have two months , which strategy should i follow. i didn't went coaching whole year but plus point is that I have my own handwritten notes of JEE advanced and mains level .sir I used to study physics and Chemistry from the great teacher alakh pandey sir and I used to study maths from you now so please I need a very very much help of you please reply please. sir please reply I want to do something for my parents for my country that pleases I want my selection in any way to the IIT because this will give me a platform to prove what I am I am belong I belongs to a middle class family
Vineet Loomba
4 months ago
I sugget you to practice previous year questions ..that will help u excel in mathematics :)
Pranshu jassal
4 months ago
thank
sir es chapter ka katana weightage ha iit mains ma🤔 please baatayiya
Vineet Loomba
4 months ago
1-2 ques aate h
ohk thank you sir 🤗
sir ek question baata do na plzz😩😩😩😩Q-three no. are chosen from 1-30. The probability that they are not consecutive,is????????????????????????????????
sir ek question baata do na plzz😩😩😩😩Q-three no. are chosen from 1-30. The probability that they are not consecutive,is????????????????????????????????
Vineet Loomba
4 months ago
1- consecutive ki prob nikal lo
im sorry sir but im not too clear on y we took 12! instead of just 12 for n(S)
Vineet Loomba
4 months ago
bcz we have arrange also na ..as per concept of permutation ..like 5 person seating on 5 chairs ..no. of ways is 5! not 5 right ? we do this is class 11
Ramita
4 months ago
thank you sir got it Sorry I was a bit confused but clear now :)
Vineet Loomba
4 months ago
No prblm ..dont forget to rate 5 stars to the course
Ramita
4 months ago
yes sir already did :D
sir aapke bahut saare followers aur hone chaiye u deserves reaaly
Vineet Loomba
4 months ago
Thnks ..pls keep sharing
  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) Example: A coin is tossed three times, consider the following events. A: 'No head appears', B: 'Exactly one head appears' and C: 'Atleast two heads appear Do they form a set of mutually exclusive and exhaustive events? Solution The sample space of the experiment is S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} and A-(TTT), B {HTT, THT, TTH), C {HHT, HTH, THH, HHH) Now A u B u C = {TTT, HTT, THT, TTH, HHT, HTH, THH, HHH) = S Therefore, A, B and C are exhaustive events. Therefore, the events are pair-wise disjoint, ie, they are mutually exclusive. Hence, A, B and C form a set of mutually exclusive and exhaustive events SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment A: 'the sum is even' C: the sum is less than 4. Which pairs of these events are mutually exclusive? B: "the sum is a multiple of 3. D: 'the sum is greater than Solution There are 36 elements in the sample space S {(, y): x, y 1, 2, 3, 4, 5,6) D (6, 6)) A n B-{(1, 5), (2, 4), (3, 3), (4, 2), (5, 1), (6, 6)) The pairs (A, C), (A, D), (B, C), (B, D) are not mutually exclusive events But C n D , so C and D are mutually exclusive events SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) PROBABILITY DEFINITION If an experiment results in a total of (m n) outcomes which are equally likely and mutually exclusive with one another and if 'm' outcomes are favorable to an event 'A while 'n' are unfavorable, then the probability of occurrence of the event 'A' denoted by numberof favourableoutcomes totalnumberof outcomes P(A) m + n SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: In throwing of a fair die find the probability of the event a number s 4 turns up' Sol: Sample space S . n(A)4 and n(S)6 1, 2, 3, 4, 5, 6); event A (1, 2, 3, 4) n(A) 4 2 P(A)S3 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)


  7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: In throwing a pair of fair dice, find the probability of getting a total of 8 Sol. When a pair of dice is thrown the sample space consists (2, 6) Note that (1, 2) and (2, 1) are considered as separate points to make each outcome as equally likely To get a total of '8', favourable outcomes are, (2, 6) (3, 5) (4, 4) (5, 3) and (6, 2) Hence required probability- 36 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: Six boys and six girls sit in a row randomly, find the probability that all the 6 girls sit together Sol: Let S be the sample space and E the event that all the 6 girls sit together n(S) -Total number of ways of seating 6 boys and 6 girls in a row 12! n(E)-number of ways of seating 6 boys and 6 girls in a row so that all the 6 girls sit together = 716! n(E) 6!7! 1 n(S) 12! 132 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example A four digit number is formed using the digits 0, 1, 2, 3, 4 without repetition. Find the probability that it is divisible by 4 Sol Total 4 digit numbers formed 4 4 3 2 9 Each of these 96 numbers are equally likely & mutually exclusive of each other Now, A number is divisible by 4, if last two digits of the number is divisible by 4 Hence we can haverst two places can be iled in 3 2 6 ways 12 two places can be filled in 2 x 2 4 ways 6 ways 4 ways 4 ways 6 ways 30 ways Total number of ways favorable outcomes probability Total outcomes 30- 96 Ans 16 SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEe)


  10. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: In throwing of a fair die, find the probability of turning up of an odd number 24 Sol: S 11, 2, 3, 4, 5, 6) Let E be the event 'turning up of an odd number 2 4 then E (5) n (E) 1 . P(E) n (S) 6 SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)