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The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing English examination is 0.75, what is the probability of passing the Hindi Examination?

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MODERN PUBLICATION-SAMPLE PAPER 2017-EXERCISE
  1. Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...

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  2. If veca=3hati+hatj+2hatk,vecb=2hatj-3hatj+4hatk then verify that vecax...

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  3. Five boys and four girls randomly stand in a line. Find the probabilit...

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  4. If a random variable X has a binomial distribution B (8,1/2) then find...

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  5. A cricket team consisting of 11 players is to be chosen from 8 batsmen...

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  6. Find the inverse of the following matrix: [[0,0,2],[0,2,0],[2,0,0]]

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  7. If P(n-1,3):P(n+1,3)=5:12, find n.

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  8. Solve by Cramer’s rule 2x-y=2, 3x+y=13

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  9. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

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  10. A cylindrical open water tank with a circular base is to be made out o...

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  11. If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...

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  12. Solve frac[dx][dy]=frac[3x-7y+7][3y-7x-3]

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  13. Evaluate intfrac[dx][cosx(1+2sinx)]

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  14. Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...

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  15. Prove the following by vector method. An angle inscribed in a semi-cir...

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  16. Show that hatitimes (vecatimeshati)+hatjtimes(vecatimeshatj)+hatktime...

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  17. The probability that a student will pass the final examination in both...

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  18. If P(A) = 0.4, P(B//A) = 0.3 and P(B^(c)/A^(c)) = 0.2. Find P(B).

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  19. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

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  20. Show that C1^2 + 2C2^2 + 3C3^2 + ... + "^nCn^2 = ((2n-1!))/{(n-1)!}^2

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