Question

Let 4 and B be events with P (4) =0.5, P (B) 0.95, and P (B|A) = 0.1. Find P (A and B). P(4 and B) 

          Let 4 and B be events with P (4) =0.5, P (B) 0.95, and P (B|A) = 0.1.
Find P (A and B).
P(4 and B)

Added by Jose S.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Let 4 and B be events with P (4) =0.5, P (B) 0.95, and P (B|A) = 0.1. Find P (A and B). P(4 and B)
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn Jennifer Stoner
Kathleen Carty verified

Pritesh Ranjan and 77 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs
*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.
*

Recommended Videos

-
let-a-and-b-be-events-with-pa-02-pb-04-and-p-a-and-b-0

Let A and B be events with P(A) = 0.2, P(B) = 0.4, and P( A and B ) = 0.

Jacob F.
if-a-and-b-are-events-with-pa5-pb2-pa-and-b04-find-pa-or-b

If A and B are events with P(A)=.5, P(B)=.2, P(A and B)=.04, find P(A or B).

Sanjay N.
use-the-information-that-for-events-mathrma-and-mathrmb-we-have-pa08-pb04-and-pa-and-b025-find-pa-2

Use the information that, for events $\mathrm{A}$ and $\mathrm{B}$, we have $P(A)=0.8, P(B)=0.4$, and $P(A$ and $B)=0.25.$ Find $P(A$ if $B)$.

Statistics Unlocking the Power of Data

Probability Basics

Probability Rules
*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,445 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,904 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,003 solutions
*

Transcript

-
00:01 In this problem, we are given that the two events, a and b, and the probability of event a is given as 0 .5, and for b, its probability is given as 0 .95.
00:12 And conditional probability of b given a is equal to 0 .1, and we are required to find out probability of a and b, which is a intersection b.
00:22 And along with this we have to also get probability of a and b complement, which is a intersection b complement.
00:32 So here we first use this formula for conditional probability and let's just interchange a and b.
00:38 So we would get probability of b given a as probability of a intersection b divided by probability of a...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade

Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever