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Conditional Probability Objective: I can find the probability of a conditional event.

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Presentation on theme: "Conditional Probability Objective: I can find the probability of a conditional event."— Presentation transcript:

1 Conditional Probability Objective: I can find the probability of a conditional event.

2 Conditional Probability Probability of event A, given event B occurs. Notation: P(A|B) Two machines produce optical lenses. Machine 1: 6 defects out of 200 lenses made. Machine 2: 5 defects out of 250 lenses made. Probability of getting a defective lens. P(defective lens) = P(defective lens | Machine 1) Probability of getting a defective lens if it is made from Machine 1. What does the above notation mean?

3 Complement of an event: All other possible outcomes. What is the complement? 1.“Heads” when tossing a coin. 2.“Winning” a game 3.“The door is open” 4.“Red” for a traffic light 5.“Rolling an even #” “tails” “losing” “The door is closed” “Green or yellow” light “rolling an odd #” Events A and B are complements then P(A) + P(B) =1

4 Assignment: section 14.2 Pg 502-503: 1-7 Pg 238 12-26 even and 27,28

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