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If E(1),E(2) are two events with E(1)cap...

If `E_(1),E_(2)` are two events with `E_(1)capE_(2)=phi` then show that `P(E_(1)^(C)capE_(2)^(C))=P(E^(C))-P(E_(2))`

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The correct Answer is:
`thereforeP(E_1^CcapE_2^C)=P(E_1^C)-P(E_2).`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROBABILITY-EXERCISE-9(b)
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  2. For any two events A and B, shows that P(A^(C)capB^(C))=1" +"P(Acap...

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  3. Two persons A and B are rolling die on the condition that the person w...

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  4. A,B,C are 3 newspaper from a city. 20% of the population red A, 16% re...

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  5. If one ticket is randomly selected from tickets numbered 1 to 30. Then...

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  6. If two numbers are selected randomly from 20 consecutive natural numbe...

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  7. A game consists of tossing a coin 3 times and nothing its outcome. A b...

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  8. If E(1),E(2) are two events with E(1)capE(2)=phi then show that P(E(1)...

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  9. A pair of dice rolled 24 times. A person wins by not getting a pair of...

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  10. If P is a probability function, then show that for any two events A an...

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  11. In a box containing 15 bulbs, 5 are defective. If 5 bulbs are select...

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  12. A and B are seeking admission into I.I.T. If the probability for A to ...

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  13. The probability for a contractor to get a road contract is (2)/(3) and...

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  14. In a committee of 25 members, each member is proficient either in Math...

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  15. A,B,C are three horses in a race. The probability of A to win the race...

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  16. A bag contains 12 two rupee coins, 7 one rupee coins and 4 half rupee ...

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  17. The probabilities of three events A,B,C are such that P(A)=0.3, P(B)=0...

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  18. The probabilities of three mutually exclusive events are respectively ...

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  19. On a festival day, a man plans to visit 4 holy temples A,B,C,D in a ra...

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

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