L2 - EE7750 Lecture2: ProbabilityTheory Apples andOranges...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
EE7750 MACHINE RECOGNITION OF PATTERNS Lecture 2: Probability and Statistics
Image of page 1

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

View Full Document Right Arrow Icon
Probability Theory Apples and Oranges We randomly choose a box; draw an object randomly; and then put it back. Red box Blue box Red Blue Apple Orange 2 6 3 1 X Y
Image of page 2
Probability Theory Red box Blue box Red Blue Apple Orange 2 6 3 1 X Y Marginal probability: P(X=Red) Conditional probability: P(Y=Apple | X=Red) Joint probability: P(X=Blue, Y=Orange) Examples
Image of page 3

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

View Full Document Right Arrow Icon
Probability Theory Red box Blue box Red Blue Apple Orange 2 6 3 1 X Y Suppose we pick red box for 40% of the time, and blue box 60% of the time; then P(Red) := P(X=Red) = 0.4 P(Blue) := P(X=Blue) = 0.6 Prior probabilities
Image of page 4