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20 Continuous sample space (in Hindi)
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How to find Probability when sample space is continuous using length, area and volumes of curves, surfaces and solids

Jagat Chaudhary is teaching live on Unacademy Plus

Jagat Chaudhary
Qualified IIT-JEE,IIT-JAM. Expert faculty for IIT-JEE Mathematics Courses. M.Sc. Ph.D. (MATHEMATICS) IIT Bhubaneswar.Cofounder at Aspiration

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  1. IIT-JEE (main +Advanced) Probability On


  2. Conh nuous Sample Space


  3. Con- nous Sample Shace sf a boint is taken at vandom en area S hich includes an area othe chane-hatbont falls on a


  4. dtCorn nuous Sample space of a point is tiken at vandom em area S which includes an area the chane- hat bont fals ona


  5. Ques: A sphere is circumscribed over a cube. Find the Prob That a point lies inside the sphere, lies outside the cube


  6. Ques: A sphere is circumscribed over a cube. Find the Prob That a point lies inside the sphere, lies outside the cube Solution Required probability favorable volume total volume


  7. Ques: A sphere is circumscribed over a cube. Find the Prob That a point lies inside the sphere, lies outside the cube Solution Required probability favorable volume total volume a3 2 Clearly if edge length of cube is a radius of sphere will be


  8. Ques: A sphere is circumscribed over a cube. Find the Prob That a point lies inside the sphere, lies outside the cube favorable volume total volume Solution Required probability a3 2 Clearly if edge length of cube is a radius of sphere il be Thus, volume of spher: 4 a33 2 2


  9. Ques: A sphere is circumscribed over a cube. Find the Prob That a point lies inside the sphere, lies outside the cube favorable volume total volume Solution Required probability a3 2 Clearly if edge length of cube is a radius of sphere will be 4aV3 Thus, volume of sphere 32 2 2 Hence P-1--= 1- 7t 2


  10. Given that xe [0. 1] and ye [O. 1]. LetA be the event of (x. y) satisfying y? s x and B be the event of (x. y) satisfying x3 sy. Then (A) P(A nB)-1 (C) A, B are mutually exclusive (B) A, B are exhaustive (D) A, B are independent


  11. Given that xe [0. 1] and ye [O. 1]. LetA be the event of (x. y) satisfying y? s x and B be the event of (x. y) satisfying x3 sy. Then (A) P(A nB)-1 (C) A, B are mutually exclusive A the event of (x, y) belonging to the area OTQPO (B) A, B are exhaustive (D) A, B are independent Sol. B-the event of (x, y) belongint to the area OSQRO


  12. Given that xe [0, 1] and ye [0, 1]. Let A be the event of (X. y) satisfying SX and B be the event of (x, y) satisfying x2 sy. Thern (A) P(An B) (C) A, B are mutually exclusive Athe event of (x, y) belonging to the area OTQPO (B) A, B are exhaustive (D) A, B are independent Sol. B the event of (x. y) belongint to the area OSQRO ar (OPORO) 1x1 3 ar (OPQRO)x 1 X


  13. Given that xe [0. 1] and ye [O. 1]. LetA be the event of (x. y) satisfying y? s x and B be the event of (x. y) satisfying x3 sy. Then (A) P(A nB)-1 (C) A, B are mutually exclusive A the event of (x, y) belonging to the area OTOPO (B) A, B are exhaustive (D) A, B are independent Sol. B-the event of (x, y) belongint to the area osQRO dy dy2 1x1 3 w dx - P(A) = P(A) = ar(OTQPO)-1, ar(OPQRO 1 P(AnB).ari( POR L-Maried.2-1-1 RA) . P(B) = -=-P(An B). So, A and B are not independent RAoB) = 1, Pa: P(B)-3-3 # P(AoB). So A and B are not mutually exclusive.


  14. unacademy Enroll Jagat Chaudhary Follow Qualified IIT-JEE,IT-JAM. Expert faculty for IIT-JEE Mathematics Courses. M.Sc. Ph.D. (MATHEMATICS) IIT Bhubaneswar Cofounder at Aspiration