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There are two circles in the x-y plane w...

There are two circles in the x-y plane whose equations are `x^2+ y^2 - 2y = 0` and `x^2 + y^2- 2y - 3 = 0`. A point is chosen at random inside the larger circle. Find the probability that the point has been taken from outside the smaller circle.

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A DAS GUPTA-Elementary Probability-Exercise
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  6. Three tangents are drawn at random to a given circle. Show that the od...

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  8. A letter is taken out at random from 'ASSIGNMENT' and another from 'A...

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  9. A fair dice is rolled once. The probability that an odd number less t...

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  10. The probabilities of two independent events A and B are respectively ...

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  11. Two students A and B solve a problem. Their respective probabilities ...

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  12. If A, B are two equiprobable events such that P(A nn B)=1/4 and P(A' ...

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  13. Events A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3)...

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  14. n letters are written to different persons and their addresses are als...

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  15. A problem is given to three students whose chances of solving it are 1...

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  16. Three items from a lot of 10 items are defective. if two items are sel...

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  17. Two dice are thrown simultaneously. What is the probability of getting...

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  18. Three letters are written to different persons and their addresses are...

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  19. Three letters are written to different persons and their addresses are...

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  20. There are 4 envelops and 4 letters are to be put in these envelopes ra...

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