Conditional Probability

Conditional Probability - Conditional Probability Stat113...

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

View Full Document Right Arrow Icon
Conditional Probability Stat113
Background image of page 1

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

View Full DocumentRight Arrow Icon
Review For a sample space of equally likely outcomes, given two events A and B… P(A) = #outcomes in A / #total outcomes P(B) = #outcomes in B / #total outcomes P(A and B) = #outcomes in both A and B / #total outcomes P(A or B) = #outcomes in either A or B or both / #total outcomes
Background image of page 2
Review For any sample space, given two events A and B… P(A or B) = P(A) + P(B) - P(A and B) P(A and B) = ??? P(A and B) ≠P(A)P(B) in general! P(A and B) = P(A)P(B) if and only if A and B are independent If we don’t know if A and B are independent, but we know P(A), P(B), and P(A and B), then we can check whether A and B are independent If P(A and B) = 0, A and B are disjoint , and have no outcomes in common
Background image of page 3

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

View Full DocumentRight Arrow Icon
Conditional Probability What’s the probability that there’s a fire truck is parked outside of my apartment between the hours of 12 and 1am on any given night? Probably very low, maybe .000001 = P(T)
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.

Page1 / 10

Conditional Probability - Conditional Probability Stat113...

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