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What is the probability of obtaining a multiple of 3 in the throw of a fair die?

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A coin is tossed. If head appears a fair die is thrown three times otherwise a biased die with probability of obtaining an even number twice as that of an odd number is thrown three times. If (n_(1),n_(2),n_(3)) is an outcome, (1 le n_(1) le6) and is found to satisfy the equation i^(n_(1))+i^(n_(2))+i^(n_(3))=1 , , then the probability that a fair die was thrown is (where i=sqrt(-1))

UNITED BOOK HOUSE-Model Test Set - 10-Exercise
  1. If a value of a variable is zero, then what will be the value of A.M.,...

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  2. State and Prove Boole's inequality?

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  3. State and Prove the theorem of compound probability. If events are ind...

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  4. What is the probability of obtaining a multiple of 3 in the throw of a...

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  5. If a man walks along the four sides of a square ground with speeds v1,...

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  6. Prove that the difference between the arithmetic mean and the medain c...

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  7. The mean and s.d. of height readings of a group of employees of a firm...

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  8. Find /\^2(e^(ax+b)), taking the interval of differencing as 1.

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  9. Find the value of log10 3.5 from the following table:

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  10. Prove that log5^7 < sqrt2.

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  11. Find the probability that the birthday of 7 persons will fall on 7 dif...

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  12. An integer x is selected at random from the first 50 natural members. ...

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  13. What do you mean by family budget enquiry?

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  14. Write a short note on histogram of a frequency distribution.

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  15. Write a short note on Pie chart?

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  16. Prove that the variance of the first n odd positive integers is the sa...

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  17. Five non-similar pairs of socks are in a closet. Four socks are select...

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  18. Five non-similar pairs of socks are in a closet. Four socks are select...

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  19. The letter of word SOCIETY are placed at random in a row what is the p...

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  20. Prove that Marshall Edgeworth index number lies between laspeyers and ...

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