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Coloured bills are distributed in three bags as shown in the following table: Bag Colour of the ball   Black White Red I 1 2 3 II 2 4 1 III 4 5 3 A bag is selected at random and then two balls are randomly drawn from the selected bag. They happen to be black and red. What is the probability that they came from bag I?

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(i) Coloured balls are distributed in three bags as shown in the following table : A bag is selected at random and then two balls are randomly drawn from the selected bag. They happen to be black and red. Find the probability that they come from bag I ? (ii) Three bags contain balls as shown in the table below : A bag is chosen at random and two balls are drawn from it. They happen to be white and red. What is the from it. They happen to be white and red. What is the probability that they come from the III bag ?

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the area of the region included between the parabola y^2=x and...

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  2. Evaluate: int0^pi(x dx)/(a^2cos^2\ \ x+b^2sin^2\ \ x)

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  3. Coloured bills are distributed in three bags as shown in the follow...

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  4. Find the shortest distance between the following two lines: vec r=...

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  5. The scalar product of the vector hat i+\ hat j+\ hat k\ with the ...

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  6. Find the equation of the plane determined by the points (A(3,-1,\ 2...

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  7. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dxdot

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  8. Find the equation of line through the intersection of lines 3x+4y=7 an...

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  9. Differentiate the following with respect to x : x^(sinx)+(sinx)^(cosx)

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  10. Write the differential equation formed from the equation y=m x+c , ...

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  11. If vec a is a unit vector and ( vec x- vec a)dot( vec x+ vec a)=24 , ...

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  12. If A is a square matrix and |A| =2, then write the value of |A A ...

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  13. If A=|[3, 10],[ 2, 7]|, then write A^(-1)

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  14. Write the value of sin(2sin^(-1)(3/5)) .

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  15. If A is a 3xx3 matrix, whose elements are given by a(i j)=1/3|-3i+j...

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  16. Write the principal value of tan^(-1)(tan((9pi)/8))

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  17. For any three vectors vec a ,\ vec b and vec c , write the value...

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  18. Evaluate: int(x^2-3x)/((x-1)(x-2))dx

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  19. Evaluate: intsinxdot\ sin2x\ dotsin3x\ \ dxdot

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  20. A binary operation * on the set {0,1,2,3,4,5} is defined as: a*b={...

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