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Check whether the following probabilitie...

Check whether the following probabilities P(A) and P(B) are consistently defined
(i) `P(A)=0.5,P(B)=0.7,P(AnnB)=0.6`
(ii) `P(A)=0.5,P(B)=0.4,P(AuuB)=0.8`

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The correct Answer is:
(i) No become `P(A nn B)` must be less than or equal to `P(A)` and `P(B)`, (ii) Yes.
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NCERT GUJARATI-PROBABILITY-EXERCISE 16.3
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  2. A die I thrown, find the probability of following events: (i) A prim...

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  3. A card is selected from a pack of 52 cards. (a) How many points are ...

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  4. A fair coin with 1 marked on one face and 6 on the other and a fair di...

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

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

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  7. Three coins are tossed once. Find the probability of getting (i) 3 h...

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  8. If 2/11 Is the probability of an event, what is the probability of the...

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  9. A letter is chosen at random from the word 'ASSASSINATION'. Find the p...

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  10. In a lottery, a person chosen six different natural numbers at random ...

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

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  12. Fill up the blanks in following table: P(A)" "P(B)" "P(A nn B" "P(A...

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

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

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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) =0.48 and P(A and B) =0.1...

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

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

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

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  20. In a class of 60 students, 30 opted for NC C, 32 opted for NSS and 24 ...

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