If \( P(B) = 0.8 \), then \( P(B^c) \) can be found using the complement rule. The complement rule states that:

\[
P(B^c) = 1 - P(B)
\]

Substituting the given value:

\[
P(B^c) = 1 - 0.8 = 0.2
\]

So, \( P(B^c) = 0.2 \).

---

Would you like further details or have any questions? Here are some related questions:

1. What does \( P(B^c) \) represent in probability theory?
2. If \( P(A) = 0.7 \), how would you find \( P(A^c) \)?
3. How does the complement rule help in probability problems?
4. What is the probability of \( P(B^c) \) if \( P(B) \) is \( 0.5 \)?
5. How can we interpret the complement of an event in real-world scenarios?

**Tip:** Remember, the complement of an event represents all the outcomes in the sample space that are not part of the original event.

Understand how to calculate the probability of the complement event P(Bc) given P(B) = 0.8 using the complement rule. Explore examples and applications of probability theory in real-world scenarios.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation