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Find the correct statement:...

Find the correct statement:

A

`P(phi)=1`

B

`P(S)=0,S is the sample space

C

If A and B are independent
`P(barAcapB)=P(barA).P(b)`

D

If A and B are independent events then `P(AcupB)=P(a)+P(b)-P(A n B)`

Text Solution

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The correct Answer is:
D
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PREMIERS PUBLISHERS-INTRODUCTION TO PROBABILITY THEORY-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
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  2. The following are the probability of an event A. Find odd man out

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  3. Find the correct statement:

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  4. The following are the probability of an event A. Find odd man out

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  5. Find the incorrect statement:

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  6. In a factory two machines A and B produce equal amount of output. On t...

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  7. Let A and B are two events such that P(bar(AcupB))=(1)/(6),P(AcapB)=(1...

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  8. When a pair of balanced dice are rolled .What are the probability of ...

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  9. A,B,C,D are mutually exclusive and exhaustive events if P(A)=(1)/(2),P...

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  10. An urn contains 3 white, 4 red and 5 black balls. Two balls are drawn ...

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  11. 4 mangoes and 3 apples are in a box. If two fruits are drawn at random...

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  12. Out of 10 outstanding students is a school there are 6 girls and 4 boy...

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  13. Given that P(A)=0.35,P(B)=0.73 and P(AcapB)=0.14, find P(barAcupbarB)-...

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  14. A card is drawn at random from a well shuffled pack of 52 cards. Find ...

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  15. The probability that a student will get a pass mark in mathematics is ...

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  16. The probability of an event A occur is 0.6 and B occuring is 0.3. If A...

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  17. If P(A)=0.4,P(B)=0.5,P(AcapB)=0.25,find P(A//barB) is:

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  18. A coin is tossed twice .Events E and F are defined as follows E=Head o...

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  19. A problem is given to three students A,B,C then probability of solving...

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  20. If two events A and B, P(A)=(2)/(5),P(B)=(3)/(4) and AcupB is the simp...

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