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X speaks truth in 60% and Y in 50% of...

`X` speaks truth in 60% and `Y` in 50% of the cases. Find the probability that they contradict each other narrating the same incident.

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CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. A bag contains 3 white, 3 black and 2 red balls. One by one, three ...

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  2. The unbiased dice is tossed until a number greater than 4 appear. W...

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  3. X speaks truth in 60% and Y in 50% of the cases. Find the probabili...

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  4. In a bag there are 6 balls of which 3 are white and 3 are black. They ...

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  5. The odds against a certain event are 5 to 2, and the odds in favour of...

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  6. In a certain population, 10% of the people are rich, 5% are famous, an...

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  7. A coin is tossed three times. Event A: two heads appear Event B: last ...

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  8. Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...

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  9. From a pack of 52 cards, two are drawn one by one without replacement....

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  10. A coin is tossed and a dice is rolled. Find the probability that th...

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  11. The probability of happeining an event A in one trial is 0.4. Find the...

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  12. A, B, C in order draws a card from a pack of cards, replacing them aft...

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  13. The probability of hitting a target by three marksmen are 1/2, 1/3 a...

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  14. Three persons work independently on a problem. If the respective pr...

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  15. If P(AuuB)=3//4 and P( barA )=2//3 , then find the value of P( barA nn...

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  16. A box contains 6 nails and 10 nuts. Half of the nails and half of t...

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  17. A fair coin is tossed repeatedly. If tail appears on first four tos...

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  18. Let A ,B ,C be three events. If the probability of occurring exactly ...

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  19. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

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  20. If P(A//B)=P(A//B '), then prove that A and B are independent.

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