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If an event cannot occur, then its propb...

If an event cannot occur, then its propbability is

A

1

B

`(3)/(4)`

C

`(1)/(2)`

D

0

Text Solution

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The correct Answer is:
To solve the question "If an event cannot occur, then its probability is:", we need to understand the concept of probability and how it relates to events. ### Step-by-Step Solution: 1. **Understanding Probability**: Probability is a measure of the likelihood of an event occurring. It is defined mathematically as a number between 0 and 1, inclusive. 2. **Defining the Range of Probability**: - A probability of **0** indicates that an event cannot happen (impossible event). - A probability of **1** indicates that an event is certain to happen (sure event). - Probabilities between 0 and 1 indicate varying degrees of likelihood. 3. **Analyzing the Given Event**: The question states that we have an event that **cannot occur**. This means that there is no chance of this event happening. 4. **Assigning the Probability**: Since the event cannot occur, we assign a probability of **0** to this event. This aligns with our understanding that a probability of 0 indicates an impossible event. 5. **Conclusion**: Therefore, if an event cannot occur, its probability is **0**. ### Final Answer: The probability of an event that cannot occur is **0**. ---
To solve the question "If an event cannot occur, then its probability is:", we need to understand the concept of probability and how it relates to events. ### Step-by-Step Solution: 1. **Understanding Probability**: Probability is a measure of the likelihood of an event occurring. It is defined mathematically as a number between 0 and 1, inclusive. 2. **Defining the Range of Probability**: ...
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