## 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) SPECIAL ANNOUNCEMENT Share useful links and advice with your learners... CRASH COURSE FOR JEE MAIN 2019 (JANUARY SESSION) Find courses & lessons 735 Courses IIT JEE 2,521 Courses Str Chemistry 797 Courses Details in Plus Tab wwEest HINDI Home My Library Plus Profile SUCCESS IN JEE MAIN ER. VINEET LoOMBA (IIT RooRKEE)

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) TOPICS TO BE COVERED * Basics of Probability * Conditional Probability * Set Theory and Probability * Baye's Theorem * Total Probability Theorem Probability Distribution * Mean and Standard Deviation * Bernoulli's Trials * Binomial Distribution of Random variable SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Course Highlights: Comprehensive Course-Basics to Advanced (Class 11 + Class 12) Concepts explained in easiest possible way * In-Chapter solved examples for Strong Foundation Coverage of Previous Year Questions of JEE Main and Advanced. Special Short Tricks for JEE Main and Advanced Daily Practice Problems 100% Success with Minimal Effort Personalized Video Lectures (Comment Section) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Syllabus coverage: JEE Main JEE Advanced BITSAT CBSE BOARDS SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Target Audience: . Class 11 (Initial Lessons) and Class 12 students . Droppers JEE Main and Advanced Aspirants . Engineering Aspirants Mathematics Lovers SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) HOW TO STUDY THIS COURSE FOR BEST RESULTS ' Keep a Pen and Paper with you Pause Video and solve examples yourself . Make Short Notes . Regular Revision . Practice from Assignments/DPPs . Ask Doubts SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Other Detailed Courses Made so far on Unacademy: 22 Courses in Total: VStrategy for JEE Main and Advanced V Limits, Continuity. Differentiability V Sets, Relations and Functions V Trigonometry VApplications of Derivatives v Indefinite Integration Permutations Combinations Binomial Theorem Straight Lines Applications of Integrals Circles (Detailed Course) Definite Integration Complex Number Logarithmic Functions Sequences Series Most Important Questions in IIT-JEE Mathematics V Inverse Trigonometry Upcoming Courses next month: Co-ordinate Geometry Differential Equations 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)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) (i) Random Experiment : It is a process which results in an outcome which is one of the various possible outcomes that are known to us before hand (ii) Sample Space : It is the set of all possible outcomes of a random experiment SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Solved Example: Write the sample space of the experiment 'A coin is tossed, if it shows head a coin tossed again else a die is thrown Solution: The sample space S = {HH, HT, TI, T2, T3, T4, T5, T6) SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Sample Point Each element of the sample space is called a sample point. Event An event is a subset of the sample space. When a die is rolled, sample space is S -1,2, 3, 4, 5, 6 Let A 1,3, 5), B- 2, 4, 6,, C 1, 2, 3, 4 A: Event of occurrence of an odd number, B: Event of occurrence of an even number C Event of occurrence of a number less than 5. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Mutually Exclusive or Disjoint Events: Two events are said to be mutually exclusive if occurrence of one of them rejects the possibility of occurrence of the other i.e. both cannot occur simultaneously e.g. In throw of a dice A- occurrence or even numbers and B-Occurrence of odd numbers SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

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)

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)

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)