Conditional Probability

Conditional Probability

​Use the following slides to complete your notes for today and post in Canvas.

Conditional Probability​

The probability an event will occur given another event has already occurred.​

​Independent

The event that already happened does not affect any new events.​

Dependent​

The event that already happened does affect any new events.​

​What is the probability of a red cube and a white cube (numbered 1-6) both landing on 3 if you know that the white cube landed on 3?

(Note: We already know that the white cube has landed on 3. We need to find the probability that the red cube will land on 3.)

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​1/6

​What is the probability of both cubes landing on odd numbers if you know that the white cube landed on 3?

​What is the probability of a penny, dime, and quarter all landing on tails if you know that the quarter and the penny landed on tails?

​(Note: We only need to find the probability of the dime landing on tails)

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​1/2

​What is the probability of all 3 coins landing on tails if all you know is that the quarter landed on tails?

​What is the probability that a randomly selected student would be for the proposal, given that the student was a girl?

​What is the probability that a randomly selected student would be a boy, given that the student was for the proposal?

​What is the probability that a randomly selected student would have no opinion, given that the student was a boy?

​Find P(A|B).

​Explain what P(A|B) represents in the context of this problem.

​The probability that a student is a 10th grader given they have a computer.

​Find P(B|A).