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Three tangents are drawn at random to a ...

Three tangents are drawn at random to a given circle. Show that the odds are `3 :1` against the circle being inscribed in the triangle formed by the tangents.

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A DAS GUPTA-Elementary Probability-Exercise
  1. If there are 50 students in a class out of which 35 are boys.if only 6...

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  2. A real number x is selected at random from the solution set of inequ...

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  3. Three tangents are drawn at random to a given circle. Show that the od...

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  4. A floor is paved with rectangular marble blocks, each of length a and ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The probability that out of 10 person, all born in June, at least two ...

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  19. The probability of a leap year to have 53 Mondays is .

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  20. If two of the 64 squares are chosen at random on a chess board, the pr...

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