A lot of 11 components contains 4 that are defective. Two components are drawn at random and tested. Let A  be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. 1. Find P(A) . 2. Find P (B|A) . 3. Find P (A and B) . 4. Are A and B independent? Explain.

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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 A lot of 11 components contains 4 that are defective. Two components are drawn at random and tested. Let A

 be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.

1. Find P(A)

.

2. Find P (B|A)

.

3. Find P (A and B)

.

4. Are A and B independent? Explain.

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