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A card from a pack of 52 playing cards i...

A card from a pack of 52 playing cards is lost. From the remaining cards of the pack three cards are drawn at random (without replacement) and are found to be all spades.

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A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be diamonds. Find the probability of the lost card being a diamond.

Do both parts of problem 2 if 4 cards are drawn at random.

Do both parts of problem 2 if 3 cards drawn at random.

One card is drawn from a pack of 52 cards. Write the probability that the card drawn is either a king or a spade.

One card is drawn from a pack of 52 cards. Write the probability that the card drawn is either a king or a spade.

One card is drawn from a pack of 52 cards.Write the probability that the card drawn is either a king or a spade.

ARIHANT PUBLICATION-SAMPLE PAPER 3 -SHORT ANSWER TYPE QUESTIONS
  1. If A = [{:(0,2),(3,-4):}] and KA = [{:(0, 3a),(2b, 24):}], then find v...

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  2. Show that |{:(1,x, x ^(3)),(1,y,y ^(3)),(1,z,z^(3)):}| = (x-y) (y-z) (...

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  3. Find the inverse of the following matrix [{:(1,3,-2),(-3,0,-1),(2,1,...

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  4. A card from a pack of 52 playing cards is lost. From the remaining car...

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  5. How many times must a man toss a fair coin so that the probability of ...

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  6. If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then w...

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  7. Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if ...

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  8. Show that the line (x)/(a) + (y)/(b) = 1, touches the curve y = be^(-x...

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  9. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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  10. If x = 3 sin t - sin 3t, y = 3 cos t - cos 3t, find (dy)/(dx) at t = (...

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  11. Evaluate int(2x^(3) + 3x^(2) +5x+2) dx

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  12. Solve the following differerntial equation x (dy)/(dx) + y = x cos x +...

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  13. Evaluate int (x ^(2) +1)/( (x +1) ^(2)) dx

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  14. Evaluateint (cosxtan x )/((sec x + tan x )) dx

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  15. Find the area of region included between the parabola 4y = 3x^(2) and ...

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  16. Find the direction consines of the perpendicular from the origin to th...

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  17. If veca and vecb are unit vectors such that vecaxxvecb is a unit vecto...

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  18. Using vectors, find the area of the Delta ABC, whose vertices are A(1,...

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  19. Prove that the lines x = ay + b, z = cy + d and x = a'y + b' , z= c'y ...

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  20. If a xx b = c xx d and a xx c = b xxd , show that (a-d) is parallel to...

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