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Converse of given statement p is, where ...

Converse of given statement p is, where
P : If an event is sure event then its probability of occurrence is 1.

A

If probability of occurrence of an event is not 1, then it is not same event

B

If probability of occurrence of a n event is 1, then it is sure event

C

If is probability of occurrence of an event is not 1, then iCis sure event

D

If probability of occurrence of an event is 1, then it is not sure

Text Solution

AI Generated Solution

The correct Answer is:
To find the converse of the given statement P, we will follow these steps: ### Step 1: Identify the original statement The original statement P is: "If an event is a sure event, then its probability of occurrence is 1." ### Step 2: Break down the statement into two parts We can denote: - Statement X: "An event is a sure event." - Statement Y: "The probability of occurrence of an event is 1." ### Step 3: Understand the structure of the implication The original statement can be written in the form of an implication: - X implies Y (X → Y) ### Step 4: Write the converse of the implication The converse of an implication "X implies Y" is "Y implies X" (Y → X). ### Step 5: Formulate the converse statement Now, we can write the converse of our original statement: - "If the probability of occurrence of an event is 1, then the event is a sure event." ### Step 6: Finalize the converse statement Thus, the converse of the statement P is: "If the probability of occurrence of an event is 1, then it is a sure event." ### Step 7: Identify the correct option We can check the options provided to see which one matches our converse statement. According to the video, the correct answer is option B.
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AAKASH INSTITUTE ENGLISH-MATHEMATICAL REASONING-Assignment (SECTION-A) (Objective type Questions (Only one answer))
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  6. Equivalent form of " if and only if " for the given statements p and q...

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  7. Equal chords of a circle are equidistant from the centre.

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  8. r : Two chords of a circle subtend equal angles at centre if and only ...

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  9. To check the validity of a statement p by contradiction method our ini...

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  10. To check validity of statement we can use which of the following meth...

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  13. For the given statements identify the sufficient condition p·: If d...

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  15. Converse of given statement p is, where P : If an event is sure eve...

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  16. Contrapositive of given statement p is, where p : If slope of a stra...

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  17. r : Two chords of a circle subtend equal angles at centre if and only ...

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  18. Which type of OR is used in following pair of statements (i) Afuncti...

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