07.1 Cond Prob - Mult - Ind

07.1 Cond Prob- - Today Independence Multiplication and Total Probability rules Finish Independence Go over HW Test on Friday not Wed Friday Next

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
1/5/10 Today Independence Multiplication and Total Probability rules Friday Finish Independence Go over HW Next week
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1/5/10 Conditional Probability The following is very important: Definition of Conditional Probability If the event B occurs… ) ( ) ( ) | ( B P B A P B A P =
Background image of page 2
1/5/10 Example An organization is running a dinner for employees with at least one son. Given that Ms. Jones is invited to the dinner, what is the probability that both her children are boys? S = { (bb) (bg) (gb) (gg)} P(bb|at least 1 boy) = P(bb and at least 1 boy)/P(at least one boy) P(bb and 1b) = ¼ P(1b) = ¾ P(bb|1b) = 1/3 So we see that the sample space we wanted has 3 outcomes, not the 2 we mistakenly assumed at first. Given that the one child was a boy, we only eliminate gg from the space.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Multiplication Rule Useful in determining the intersection of sets. ) ( ) | ( ) ( ) | ( ) ( A P A B P B P B A P B A P = = An urn contains 8 red balls and 4 white balls. We draw 2 balls without replacement. Assume at each draw, each ball has equal probability of being chosen. What is the probability that
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/04/2010 for the course STATS 1100 taught by Professor Rodriguez during the Spring '08 term at Pittsburgh.

Page1 / 25

07.1 Cond Prob- - Today Independence Multiplication and Total Probability rules Finish Independence Go over HW Test on Friday not Wed Friday Next

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online