Given P(A and B) = 0.02, P(A) = 0.82, what is P(B|A)? Answer in decimal form. Round to 3 decimal places as needed.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Problem Description:**

Given \( P(A \text{ and } B) = 0.02 \), \( P(A) = 0.82 \), what is \( P(B|A) \)?

**Instruction:**

Answer in decimal form. Round to 3 decimal places as needed.

**Explanation:**

This problem requires the use of conditional probability. The formula for conditional probability is:

\[ P(B|A) = \frac{P(A \text{ and } B)}{P(A)} \]

Substitute the given values into the formula to calculate \( P(B|A) \), and then round your answer to three decimal places.
Transcribed Image Text:**Problem Description:** Given \( P(A \text{ and } B) = 0.02 \), \( P(A) = 0.82 \), what is \( P(B|A) \)? **Instruction:** Answer in decimal form. Round to 3 decimal places as needed. **Explanation:** This problem requires the use of conditional probability. The formula for conditional probability is: \[ P(B|A) = \frac{P(A \text{ and } B)}{P(A)} \] Substitute the given values into the formula to calculate \( P(B|A) \), and then round your answer to three decimal places.
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