If P (B) = 0.7, find P (B²). P(B) = X Ś
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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![The image presents a probability problem.
**Problem Statement:**
If \( P(B) = 0.7 \), find \( P(B^C) \).
**Solution Outline:**
1. Understand that \( B^C \) denotes the complement of event \( B \).
2. The probability of the complement is calculated as:
\[
P(B^C) = 1 - P(B)
\]
3. Given \( P(B) = 0.7 \), substitute this into the formula:
\[
P(B^C) = 1 - 0.7 = 0.3
\]
**Understanding the Diagram:**
- There is a small input box next to the expression \( P(B^C) = \), which is intended for entering the calculated probability of the complement of event \( B \).
- There are also two buttons: one with an 'X' which typically signifies clearing the entry, and another with a circular arrow usually indicating a reset or refresh functionality.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde56390e-d2c8-45f5-9f83-c95fbb4c473e%2F2d7cc099-ef0e-45ae-b194-b3a402250037%2F51wrkr6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a probability problem.
**Problem Statement:**
If \( P(B) = 0.7 \), find \( P(B^C) \).
**Solution Outline:**
1. Understand that \( B^C \) denotes the complement of event \( B \).
2. The probability of the complement is calculated as:
\[
P(B^C) = 1 - P(B)
\]
3. Given \( P(B) = 0.7 \), substitute this into the formula:
\[
P(B^C) = 1 - 0.7 = 0.3
\]
**Understanding the Diagram:**
- There is a small input box next to the expression \( P(B^C) = \), which is intended for entering the calculated probability of the complement of event \( B \).
- There are also two buttons: one with an 'X' which typically signifies clearing the entry, and another with a circular arrow usually indicating a reset or refresh functionality.
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