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If P(A)=(2)/(3), P(B)=(1)/(2) " and " P(...

If `P(A)=(2)/(3), P(B)=(1)/(2) " and " P(A cup B)=(5)/(6)`, then events A and B are

A

mutually exclusive

B

independent

C

independent as well as mutually exclusive

D

none of these

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A DAS GUPTA-Elementary Probability-Exercise
  1. The probability that atleast one of the events A and B occurs is 0.6 I...

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  2. If the letters of the word ASSASSIN are written down in a row, the pro...

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  3. If P(A)=(2)/(3), P(B)=(1)/(2) " and " P(A cup B)=(5)/(6), then events ...

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  4. Three dice are rolled. The probability that different numbers will app...

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  5. The probability of happening of an event A is 0.5 and that of B is 0.3...

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  6. If A and B are two independent events such that P(barA nn B)=2/15 and...

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  7. A student appears for tests I, II and III. The student is successful i...

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  8. The probability that Krishna will be alive 10 years hence is 7/15 and ...

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  9. A soldier is firing at a moving target. He fires four shots. The prob...

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  10. If A and B are independent events such that P(A) = 0.3 and P(Acup B') ...

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  11. Aa n dB are two independent events. The probability that both Aa n dB ...

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  12. The probability that atleast one of the two events A and B occurs is 0...

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  13. There are three events A, B and C one of which must , and only one can...

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  14. Two persons A and B throw two dice each. If A throws a sum of 9 then t...

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  15. Three squares of Chess board are selected at random. Find the proba...

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  16. A natural number is selected at random from the set {1<=x <=100}. The...

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  17. If A and B are two events, then which one of the following is/are alwa...

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  18. If E and Fare independent events such that 0 < P(E) <1 and 0 < P(F) <1...

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  19. If two events A and B are such that P(A)gt 0 and P(B) ne 1, then ...

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  20. For any two events A and B in a sample space, choose the correct optio...

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