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Box-I contains 2 gold coins, while anoth...

Box-I contains 2 gold coins, while another Box-II contains 1 gold and 1 silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?

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The correct Answer is:
`= ((1)/(3))/( (3)/(4) ) = (2)/(3)`
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A box contains N coins, m of wiich are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair ?

SUNSTAR PUBLICATION-ANNUAL EXAM QUESTION PAPER MARCH - 2016-PART - C (Answer any ten questions)
  1. Find two numbers whose product is 100 and whose sum is minimum.

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  2. Find the area lying between the curve y^(2) = 4x and the line y=2x

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  3. For any three vectors overset(to)(a) , overset(to)(b) and overset(to) ...

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  4. Find the distance between the lines overset(to)(r ) = hat(i) + 2 hat(j...

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  5. Find the sine of the angle between the vectors hat(i) + 2 hat(j) + 2 h...

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  6. Find the equation of the curve passing through the point (1,1), given ...

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  7. Show that tan^(-1)""(1)/(2) + tan^(-1)""(2)/( 11) + tan^(-1)""(4)/(3) ...

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  8. Using elementary transformations, find the inverse of the matrices ...

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  9. Show that the relation R in the set A={x in Z :0lexle12} is given by R...

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  10. Verify Mean Value Theorem if f(x)= x^(3) - 5x^(2) - 3x in the interval...

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  11. If x=a cos ^(3) theta and y = a sin^(3) theta then (dy)/( dx) =

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  12. Box-I contains 2 gold coins, while another Box-II contains 1 gold and...

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  13. Find int(xdx)/((x+1)(x+2))

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  14. Integrate (2x)/( ( x^(2) + 1) ( x^(2) + 2) ) with respect to x.

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  15. Find two numbers whose product is 100 and whose sum is minimum.

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  16. Find the area lying between the curve y^(2) = 4x and the line y=2x

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  17. For any three vectors overset(to)(a) , overset(to)(b) and overset(to) ...

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  18. Find the distance between the lines overset(to)(r ) = hat(i) + 2 hat(j...

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  19. Find the sine of the angle between the vectors hat(i) + 2 hat(j) + 2 h...

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  20. Find the equation of the curve passing through the point (1,1), given ...

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