## Related questions with answers

Question

If two events A and B are independent, how do the probabilities P(A) and P(A | B) compare?

Solutions

VerifiedSolution A

Solution B

Answered 1 month ago

Step 1

1 of 5In this exercise, we are given that events $A$ and $B$ are independent events. Our goal is to compare $P(A)$ and $P(A|B)$. But:

*What are independent events?*

Step 1

1 of 2Let us assume that $A$ and $B$ are independent events.

Multiplication rule for independent events:

$P(A\text{ and }B)=P(A)\times P(B)$

General multiplication rule:

$P(A\text{ and }B)=P(B)\times P(A|B)$

Combine these two rules:

$P(A)\times P(B)=P(B)\times P(A|B)$

Divide each side by $P(B)$:

$P(A)=P(A|B)$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Probability and Statistics for Engineers and Scientists

9th Edition•ISBN: 9780321629111 (4 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers1,204 solutions

#### Understanding Basic Statistics

8th Edition•ISBN: 9781337558075Charles Henry Brase, Corrinne Pellillo Brase2,686 solutions

#### The Practice of Statistics for the AP Exam

5th Edition•ISBN: 9781464108730 (1 more)Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor2,433 solutions

#### Statistics and Probability with Applications

3rd Edition•ISBN: 9781464122163Daren S. Starnes, Josh Tabor2,555 solutions

## More related questions

- anatomy and physiology
- anatomy and physiology
- anatomy and physiology

1/4

- anatomy and physiology
- anatomy and physiology
- anatomy and physiology

1/7