# Conditional Probability

May 19th, 2015
Studypool Tutor
Price: \$10 USD

Tutor description

If events A and B are independent, then the probability of B happening does not depend upon whether A has happened or not. Therefore P(B/A) = P(B/A') =P(B) A tree diagram can be drawn:

Word Count: 531
Showing Page: 1/4
Conditional ProbabilityRecap: Independent events.If events A and B are independent, then the probability of B happening does not depend upon whether A has happened or not. Therefore and.A tree diagram can be drawn:Dependent events:If A and B are dependent events, the probability of B happening will depend upon whether A has happened or not.We therefore have to introduce conditional probabilities in the tree diagram (as shown below):The rule for combining probabilities for dependent events isP(A and B) = P(A) P(B | A)This is equivalent to sayingExample:Every morning I buy either The Times or The Mail. The probability that I buy The Times is and the probability that I buy The Mail is . If I buy The Times, the probability that I complete the crossword is , whereas if I buy The Mail the probability that I complete the crossword is .a) Find the probability that I complete the crossword on any particular day.b) If I have completed the crossword, find the probability that I bought The Mail.The tree diagram is:Notation: T = buy The TimesM = buy The MailC = complete crossworda) From the tree diagram,P(complete crossword

## Review from student

Studypool Student
" AMAZING as always! "

1828 tutors are online

### Other Documents

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors