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This lesson takes up more solved examples on Probability

## Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
💥IITian | Top Educator 💥All Maths Chapters Complete & FREE 💥10+ Years Experience 💥Youtube: Maths Wallah 💥DPPs @ vineetloomba.com

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18/18
Sir in the bird question, I tried to do it with total prob. theoram. and the result was somethinglike ( 1/3)(2/3)+(1/3)(1/3)+(1/3)(3/4) and my answer came out to be 7/18 . Please guide where I am wrong.
Sir, I have a doubt regarding IIT card question. Those events were not independent, then why did you multiply their individual probability.
Vineet Loomba
a year ago
Y do u think they are nkt independent ? Each trial is independent any outcome can come
Keshav Verma
a year ago
sir, if I draw 1(I) card from stack then the probability of I card on next draw will be changed
plz sir add more questions practice set plzz for jee main 2019 and cbse boards..?
Vineet Loomba
a year ago
i have started a new course for cbse ... important ques and i ll add jee main soon
Being COOL
a year ago
ok sir thanks :)
Hie sir, I have a small doubt regarding education system in india Is it not possible to teach us in practical way from the 6th class onwards?
Sir add questions of 2019 jee mains
1. SOLVED PRACTICE PROBLEMS PROBABILITY JEE MAIN RANK BOOSTER COURSE PREPARED BY: ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR

2. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B.Tech. From IIT Roorkee -\$ IIT-JEE Mentor Since 2010. Youtube Channel with 10k Active Followers & Founder @ vineetloomba.com * Follow me @ https://unacademy.com/user/vineetloomba to get unacademy updates or search me on Google * Share among your peers as SHARING is CARING!!

3. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Other Detailed Courses Made so far on Unacademv: V Strategy for JEE Main and Advanced V Sets, Relations and Functions V Trigonometry V Applications of Derivatives Limits, Continuity. Differentiability V Indefinite Integration V Definite Integration Complex Number V Logarithmic Functions V Sequences Series V Most Important Questions in IIT-JEE Permutations Combinations Binomial Theorem V Straight Lines V Applications of Integrals MathematicS V Parabola (Detailed Course) v Inverse Trigonometry V Mathematical Reasoning V Ellipse (Detailed Course) V Hyperbola V Differential Equations Circles (Detailed Course) V Probability Upcoming Courses next month: > Differential Equations ER. VINEET LOOMBA (IIT RooRKee) MATHEMATICS FOR IIT-I

4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. A speaks truth in 75% cases and B in 80% cases. What is the probability that they contradict each other in stating the same fact? (A) 7/20 (C) 3/20 (B) 13/20 Sol There are two mutually exclusive cases in which they contradict each other i.e. AB and AB. Hence Required probability -PAB+ ,-PAB) + P (AB) P(A) P(B) + P( ) P (B) 4 5 4 5 20 SUCCESS IN JEE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEE)

5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. The letters of the word HIRDESH are written in a row randomly. The probability of the words starting with H and ending with H is- (A) 1/21 (B) 2/21 (D) None of these 7! sol. Total no. of case s = Since H is written at first and last places, therefore at the remaining 5 places, 5 letters can be written in 5! ways Required probability7/21 21 SUCCESS IN JEE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEE)

6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. Three numbers are selected one by one from whole numbers 1 to 20. The probability that they are consecutive integers is- (A) 1/380 (C) 3/20 Total number of sequences of 3 numbers selected one by one from whole numbers 1 to 20 20 x19 x 18 Now sequences which will contain three consecutive integers are (1, 2, 3) (2, 3, 4), (3, 4, 5). (18,19,20). These are 18 sequences. Hence (B) 3/190 (D) None of these Sol. 18 :. required probability 20 x19 x 18 380 SUCCESS IN JEE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEE)

7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. A box contains 20 cards. The letter I is written on 10 cards and T is written on other 10 cards, 3 cards are chosen randomly and are kept in the same order. The probability of making the word IIT is- (A) 9/80 (C) 4/27 (B) 1/80 (D) 5/38 Sol. Required probability P (I on first card) x P (I on second card) x P (T on third card) 10 9 105 20 19 18 38 SUCCESS IN JEE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEE)

8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. If two events A and B are such that P (A) 0.3, P (B)0.4 and P (AB) 0.5, then P AuB equals- Sol. We have P (AB) P (A)-P (AB) P(A)+P (B)-P (AB) P (A)+P (B)-P (AB) 0.7-0.5 0.2 1 =0.7+06-05-08-4 SUCCESS IN JEE MAIN 2019 ER. VINEET LOOMBA (IIT RooRKEE)

9. FOR 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 ER. VINEET LOOMBA (IIT RooRKEE) MATHEMATICS FOR IIT-IEE