In a certain region; the probability of a baby being born a girl is 0.499 instead of 0.5. Let A denote the event of getting a girl when a baby is born. What is the value of P(Ā) ?

The event \( A \) represents the probability of a baby being born a girl, which is given as \( P(A) = 0.499 \).

The complement of \( A \), denoted as \( \bar{A} \), represents the event of **not** getting a girl, which is the event of getting a boy. The probability of the complement of an event is calculated as:

\[
P(\bar{A}) = 1 - P(A)
\]

Substituting \( P(A) = 0.499 \):

\[
P(\bar{A}) = 1 - 0.499 = 0.501
\]

Therefore, the value of \( P(\bar{A}) \) is \( 0.501 \).

Would you like further details or have any questions? 

Here are five related questions to explore further:
1. What is the sum of probabilities of \( A \) and \( \bar{A} \)?
2. How would this probability change if \( P(A) \) were exactly 0.5?
3. What is the probability of two babies both being boys?
4. How does conditional probability apply if more information is given?
5. What is the probability of having at least one girl in two births?

**Tip:** Complementary events can simplify the calculation of probabilities in more complex scenarios.

In a certain region; the probability of a baby being born a girl is 0.499 instead of 0.5. Let A denote the event of getting a girl when a baby is born. What is the value of P(Ā)?

Explore how to calculate the complement of an event using the example of the probability of a baby being born a girl. This problem applies the complement rule in probability to find P(Ā), suitable for students in Grades 9-11.

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