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Events A,B,C are such that P(A) = 0.3, P...

Events A,B,C are such that `P(A) = 0.3, P(B) = 0.4,P( C) = 0.8, P(AcapB) =0.08, P(Acap C) = 0.28 and P(Acap Bcap C) = 0.09.` If `P(Acup B cup C) ge 0.75,` Show that, `023le P(B cap C) le 0.48.`,

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CHHAYA PUBLICATION-PROBABILITY-LONG ANSWER TYPE QUESTIONS
  1. State and prove the " addition theorem" of probability for two mutuall...

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  2. Show that the non-mutually exclusive events A and B, P(A cup B) = P(...

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  3. For any three events A, B and C, prove that. P(A cup B cup C) = P(A)...

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  4. Obtain P(bar(A) + B) , P(A+ bar(B)) in terms of P(A) , P(B) and P(AB)...

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  5. A five figure number is formed using the digits 5,6,7,8,0 without repe...

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  6. Five different letters are put at random inside five addressed envelop...

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  7. If 16 dates are named at random , what is the probability that 3 of t...

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  8. A bag contains 50 tickets numbered 1,2,3,…, 50 , of which 5 are drawn ...

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  9. X and Y stand in line at random with 10 other people what is the proba...

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  10. Twelve dissimilar balls are disributed at random into five boxes marke...

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  11. Four different objects 1,2,3,4 are distributed at random on four place...

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  12. From 100 tickets numbered 1, 2, 3, ...... , 100, four are drawn at ran...

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  13. Events A,B,C are such that P(A) = 0.3, P(B) = 0.4,P( C) = 0.8, P(AcapB...

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  14. A,B,C and D are four mutually exclusive and exhuastive events. If the ...

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  15. There unbiased dice are thrown at a time . What is the probability tha...

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  16. n biscuits are distributed at random among N different beggars, what i...

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