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Let A, B and C be three events such that...

Let A, B and C be three events such that `P(A)=0.3, P(B)=0.4, P(C )=0.8, P(A cap B)=0.08, P(A cap C) =0.28, P(A cap B cap C)=0.09`. If `P(A cup B cup C) ge 0.75`, then show that `P(B cap C)` satisfies 0.23≤P(B∩C)≤0.48.

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ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let A, B and C be three events such that P(A)=0.3, P(B)=0.4, P(C )=0.8...

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  2. find the derivative of sin x cos x

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  3. A six-faced fair dice is shown until 1 comes. Then the probability tha...

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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 th...

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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. Indian and four American men and their wives are to be seated randomly...

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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 four dice is thrown independently three times. The probabili...

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

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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. Evluate int (cosx+x) dx

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

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  17. It is given that the events A and B are such that P(A)=1/4, P(A/B)=1/2...

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  18. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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  19. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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  20. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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

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