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Check whether the following probabiliti...

Check whether the following probabilities P(A) and P(B) are consistently defined(i) `P(A) = 0. 5`, `P(B) = 0. 7`, `P(A nnB) = 0. 6`(ii) `P(A) = 0. 5`, `P(B) = 0. 4`, `P(A uuB) = 0. 8`

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(i) P(A)=0.5,P(B)=0.7, P(A∩B)=0.6
It is known that if E and F are two events such that E⊂F then P(E)≤P(F)
However here P(A∩B)>P(A) Hence P(A) and P(B) are not consistently defined
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NCERT-PROBABILITY-EXERCISE 16.3
  1. A fair coin with 1 marked on one face and 6 on the other and a fair d...

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  2. A card is selected from a pack of 52 cards. (a)        How many point...

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  3. A fair coin is tossed four times, and people win Re 1 for each head a...

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  4. There are four men and six women on the city council. If one council ...

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  5. Which of the following cannot be valid assignment of probabilities fo...

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  6. A die is thrown, find the probability of following events: (i) A pri...

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  7. A coin is tossed twice, what is the probability that atleast one tail...

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

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  9. The probability that a student will pass the final examination m both...

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  10. Three coins are tossed once. Find the probability of getting (i) 3 he...

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  11. Check whether the following probabilities P(A) and P(B) are consisten...

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  12. Fill in the blanks m following table:

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  13. A letter is chosen at random from the word ‘ASSASSINATION’. Find the ...

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  14. In a lottery, a person choses six different natural numbers at random...

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

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  16. A and B are events such that P(A) = 0. 42, P(B) = 0. 48and P(A a n d B...

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  17. Give P(A) =3/5and P(B) =1/5dotFind P(A or B), if A and B are mutually ...

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

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

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  20. In an entrance test that is graded on the basis of two examinations, ...

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