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If P (E) denotes probability of occurren...

If P (E) denotes probability of occurrence of event E, then :

A

`P(E)in [-1,1]`

B

`P(E) in (1,oo)`

C

`P(E)in(0,1)`

D

`P(E)in[0,1]`

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The correct Answer is:
To solve the problem regarding the range of the probability of occurrence of event E, denoted as P(E), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Probability**: Probability is defined as the measure of the likelihood that an event will occur. It is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. 2. **Range of Probability**: The probability of any event E, denoted as P(E), must satisfy certain conditions: - The minimum value of probability is 0, which means the event E cannot occur at all. - The maximum value of probability is 1, which means the event E is certain to occur. 3. **Mathematical Representation**: Therefore, we can express the range of P(E) mathematically as: \[ 0 \leq P(E) \leq 1 \] 4. **Conclusion**: Based on the above reasoning, the range of the probability of occurrence of event E is from 0 to 1, inclusive. ### Final Answer: The range of P(E) is \( [0, 1] \).
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MODERN PUBLICATION-PROBABILITY-Objective Type Question (A. Multiple Choice Questions)
  1. If P(A)=(1)/(2),P(B)=0, then P(A/B) is :

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  2. The probability of obtaining an even prime number on each die, when a...

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  3. If P (E) denotes probability of occurrence of event E, then :

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  4. If A and B are independent events, then :

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  5. The probability of obtaining an even prime number on each die, when a...

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  6. If Aa n dB are two events such that P(A)=0. 5 ,P(B)=0. 6a n dP(AuuB)=0...

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  7. If A and B are two independent events such that P(AuuB)=0. 60\ a n d\ ...

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  8. Two cards are drawn from a well shuffled deck of $2 cards with replace...

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  9. Events A and B are independent if

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  10. A pair of dice is thrown once, the probability of doublet is :

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  11. If P(A)=(1)/(2) and P(B)=0, then P(A//B) is equal to :

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  12. If A and B are events such that P(A//B)=P(B//A), then :

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  13. A die is rolled. If the outcome is an odd number, what is the proba...

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  14. If P(A)=(3)/(5) and P(B)=(1)/(5), then the value of P(A nn B) when A a...

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  15. If A and B are two independent events and P(A)=(1)/(4),P(B)=(1)/(3), t...

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  16. If P(A)=(1)/(2),P(B)=(3)/(8) and P(A nn B)=(1)/(5), then P(A//B) is eq...

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  17. If P(A]B) > P(A), then which of the following is correct: (A) P(B" ...

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  18. If A and B are any two events such that P(A)+P(B)-P( A "and" B)=P(A), ...

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  19. The probability of obtaining an even prime number on each die, when a...

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  20. Let E and F be two events associated with the same random experiment. ...

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