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If P(A) denotes the probability of an ev...

If P(A) denotes the probability of an event, then

A

`P(A) lt 0`

B

`P(A) gt 1`

C

`0 le P (A) le 1`

D

`-1 le P(A) le 1`

Text Solution

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The correct Answer is:
To solve the question regarding the probability of an event \( P(A) \), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Probability**: - The probability of an event \( A \), denoted as \( P(A) \), is a measure of the likelihood that the event will occur. 2. **Range of Probability**: - The probability of any event must lie within a specific range. This range is defined as: \[ 0 \leq P(A) \leq 1 \] - Here, \( P(A) = 0 \) indicates that the event will not occur (impossible event), and \( P(A) = 1 \) indicates that the event will certainly occur (certain event). 3. **Conclusion**: - Therefore, the correct statement regarding the probability of an event \( A \) is that it lies between 0 and 1, inclusive. ### Final Answer: - The correct option is that \( P(A) \) lies between 0 and 1.
To solve the question regarding the probability of an event \( P(A) \), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Probability**: - The probability of an event \( A \), denoted as \( P(A) \), is a measure of the likelihood that the event will occur. 2. **Range of Probability**: ...
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