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 AA, denoted as P(not A)P(\text{not } A), is calculated as:

P(not A)=1P(A)P(\text{not } A) = 1 - P(A)

Given that P(A)=0.7114P(A) = 0.7114, we can find P(not A)P(\text{not } A) as follows:

P(not A)=10.7114=0.2886P(\text{not } A) = 1 - 0.7114 = 0.2886

Thus, P(not A)=0.29P(\text{not } A) = 0.29 (rounded to 2 decimal places).

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the probability of both AA and not A\text{not A} occurring simultaneously?
  2. How do you find the probability of the union of two events?
  3. What is the probability of at least one of two mutually exclusive events happening?
  4. How do independent and dependent events affect their probabilities?
  5. 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