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Check whether the following probabilitie...

Check whether the following probabilities P(A) and P(B) are consistently defined:- P(A) = 0.5, P(B) = 0.4, `P(A uu B)` = 0.8

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Check whether the following probabilities P(A) and P(B) are consistently defined:- P(A) = 0.5, P(B) = 0.7, P(A nn B) = 0.6

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An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known : P(A fails ) = 0.2, P( B fails alone ) = 0.15, P(A and B fail ) = 0.15 Evaluate the following probabilities: P(A fails | B has failed )

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PSEB-PROBABILITY-EXERCISE
  1. In a lottery, a person choses six different natural numbers at random ...

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  2. Check whether the following probabilities P(A) and P(B) are consistent...

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  3. Check whether the following probabilities P(A) and P(B) are consistent...

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  4. Given P(A) =3/5 and P(B) =1/5. Find P(A or B), if A and B are mutually...

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  5. If E and F are events such that P(E) =1/4, P(F) =1/2 and P(E and F) =1...

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  6. Events E and F are such that P(not E or not F) = 0.25, State whether E...

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  7. A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) =...

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  8. In Class XI of a school 40% of the students study Mathematics and 30% ...

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  9. In an entrance test that is graded on the basis oftwo examinations, th...

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  10. The probability that a student will pass the final examination in both...

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  11. In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 o...

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  12. In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 o...

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  13. A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5...

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  14. 4 cards are drawn from a well -shuffled deck of 52 cards. What is the ...

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  15. A die has two faces each with number ‘1’, three faces each with number...

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  16. A die has two faces each with number ‘1’, three faces each with number...

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  17. A die has two faces each with number ‘1’, three faces each with number...

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  18. In a certain lottery 10,000 tickets are sold and ten equal prizes are ...

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  19. Out of 100 students, two sections of 40 and 60 are formed. If you and ...

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  20. Out of 100 students, two sections of 40 and 60 are formed. If you and ...

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