Math Problem Statement
Let A be an event, such that P ( A )
0.7114 . Find the following probability: P(not A)=% (Round the answer to 2 decimals)
Solution
The probability of the complement of event , denoted as , is calculated as:
Given that , we can find as follows:
Thus, (rounded to 2 decimal places).
Would you like more details or have any questions?
Here are 5 related questions:
- What is the probability of both and occurring simultaneously?
- How do you find the probability of the union of two events?
- What is the probability of at least one of two mutually exclusive events happening?
- How do independent and dependent events affect their probabilities?
- Can you explain the difference between theoretical and experimental probability?
Tip: Always remember that the sum of the probabilities of an event and its complement is 1.
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Math Problem Analysis
Mathematical Concepts
Probability
Complement of an Event
Formulas
P(not A) = 1 - P(A)
Theorems
The Complement Rule
Suitable Grade Level
Grades 6-8
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