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A man P speaks truth with probability p ...

A man P speaks truth with probability p and another man A speaks truth with probability 2p.
Statement-1 If P and Q contradict each other with probability `(1)/(2)`, then there are two values of p.
Statement-2 a quadratic equation with real coefficients has two real roots.

A

Statement-1 is true, Statement-2 is true: Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

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ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A man P speaks truth with probability p and another man A speaks trut...

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  2. A person goes to office either by car, scooter, bus or train probabili...

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  3. A six faced fair die is thrown until 1 comes. Then , the probability t...

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  4. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

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  5. Three houses are available in a locality. Three persons apply for the ...

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  6. A randam variable X has Poisson's distribution with mean 2. Then , P(X...

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  7. There are n urns each containing (n+1) balls such that ith urn contain...

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  8. In a telephone enquiry system, the number of phone calls regarding rel...

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  9. One Indian and four American men and their wives are to be seated rand...

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  10. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

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  11. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

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  12. A pair of fair dice is thrown independently three times. The probab...

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  13. Two aeroplanes I and II bomb a target in succession. The probabilit...

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  14. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

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  15. Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...

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  16. A die is thrown. Let A be the event that the number obtained is gre...

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  17. It is given that the events A and B are such that P(A)=(1)/(4),P((A)/(...

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  18. A fair die is tossed repeatedly until a six is obtained Let X denote t...

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  19. A fair die is tossed repeated until a six is obtained. Let X denote th...

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  20. A fair die is tossed repeatedly until a six obtained. Let X denote the...

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  21. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

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