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This lesson takes up practice problems (solved) in probability

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | Best Online Maths Educator | Highest Overall Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com
U
Unacademy user
sir sounds level bahot Kam he please sir agale section me sounds level high takana
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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
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NA
sir pls make separate course for ncert question so that it will cover board as well mains
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Aj
sir in this 4c1 ×4c1÷52C2 third question
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sir in the second question i solved it like-P(A occurs but B does not occur)+P(A does not occur but B occurs).But the answer is coming 0.38 instead of 0.44.
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Vineet Loomba
9 months ago
U havenot considered third case that is when both fails ... A or B in prob means union
Soumalya Ghosh
9 months ago
yes sir i forgot to take it now it is coming 0.44.Thank you very much sir.
sir 2nd question me agar P(AUB) lete ho to aak case ayega jab dono fail karta he?.. to usko to minus karna hoga?... I mean P(AUB)-P(A∩B) hoga na instead of just P(AUB)?
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  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 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: Coordinate Geometry > Differential Equations ER. VINEET LOOMBA (IIT RooRKee) MATHEMATICS FOR IIT-I


  4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 3 EX. If P (A) , then find the odds against of A (A) 3 5 (B) 4 :5 (C) 3 : 4 (D) 5 : 3 PA)-8-PA)-1- .. odds in against of A - Sol, . PA). 5 PA)3 5.3 SUCCESS IN EE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT RooRKEE)


  5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. If the probability for A to fail in an examination is 0.2 and that of B to fail is 0.3, then the probability that either A or B fails is- (A) 0.5 (C) 0.56 Let A be event for A to fail and B be the event for B to fail, then P (A) 0.2 and P(B)0.3 Since A and B are independent events, .:. P (AB)P(A) P (B) :. Required probability (B) 0.44 (D) None of these Sol. = P(A+ B) P(A) P (B) P (AB) - P(A) P (B) P (A) P(B) - 0.2 0.3 0.2 x 0.3 0.5 0.06 0.44 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT RooRKEE)


  6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. If two dice are thrown together then what is the probability that the sum of their numbers is greater than 9. Sol. The sum of the numbers greater than 9 may be 10,11 and 12. If these events be A, B, C respectively, then P (A) 3/36 favourable cases are (6, 4), (5, 5), (4, 6)] P (B) = 2/36 [.. favourable cases are (6, 5), (5, 6)] P (C)1/36 [. favourable case is (6, 6)] Now since A, B, C are mutually exclusive, so P (A + B + C) = P(A) + P(B) + P (C) 3 2 1 36 36 36 6 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT RooRKEE)


  7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. Two cards are drawn one by one from a pack of 52 cards. If the first card is not replaced in the pack , then what is the probability that first card is that of a king and second card is that of a queen? (A) 4/664 (C) 6/663 (B) 5/663 (D) 4/663 So. Let A first card is that of a king Bsecond card is that of a queen 4 4 that P(A) - 5(BA) 5213 4 . P (AB) P (A) P (B/A) 13 51 663 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT RooRKEE)


  8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. One person can kill a bird twice in 3 shots, second once in 3 shots and third thrice in 4 shots. If they shot together then what is the probability that the bird will be killed? (A) 18/19 (C) 18/17 If A, B, C denote events of killing the bird by first second and third person respectively, then P (A) 2/3, P (B)1/3, P (C)3/4 The bird will be killed if atleast one of these three independent events happens. So Required probability (B) 17/18 (D) 20/17 Sol. -1-P/A 1) P (A2) P (Ag) -1-(1-2/3) (1-1/3) (1-34)-1-1/3. 2/3. 1/4-17/18 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT RooRKEE)


  9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. A coin is tossed thrice. If E be the event of showing atleast two heads and F the event of showing head in the first throw, then P (E/F) is equal to- (A) 3/4 (B)3/8 (C) 1/2 There are following 8 outcomes of three throws: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT Also P (E F) = 3/8 and P (F) = 4/8 (D) 1/8 Sol. P (EnF) . required probability E/F)P ( 3/8 3 4/8 4 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT RooRKEE)


  10. 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