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The probability of not happening of an e...

The probability of not happening of an event is 0.63 . The probability of happening of that events is

A

0.36

B

`3.6`

C

`3.7`

D

`0.37`

Text Solution

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The correct Answer is:
To find the probability of an event happening when the probability of it not happening is given, we can use the following steps: ### Step-by-Step Solution: 1. **Understand the Relationship**: The probability of an event happening (let's denote it as P(A)) and the probability of it not happening (denote it as P(A')) are related by the formula: \[ P(A) + P(A') = 1 \] Here, P(A') is the probability of the event not happening. 2. **Identify the Given Information**: We are given that the probability of not happening of the event, P(A'), is 0.63. 3. **Use the Formula**: To find the probability of the event happening, we can rearrange the formula: \[ P(A) = 1 - P(A') \] 4. **Substitute the Known Value**: Now, substitute the value of P(A'): \[ P(A) = 1 - 0.63 \] 5. **Calculate the Result**: Perform the subtraction: \[ P(A) = 1 - 0.63 = 0.37 \] 6. **Conclusion**: Therefore, the probability of the event happening is: \[ P(A) = 0.37 \] ### Final Answer: The probability of happening of that event is **0.37**. ---
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