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Two-Way Tables

Aim: Find the probability of an event given a condition. Two-Way Tables. Conditional Probability. Aim: Find the probability of an event given a condition. Try this ….

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Two-Way Tables

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  1. Aim: Find the probability of an event given a condition. Two-Way Tables Conditional Probability

  2. Aim: Find the probability of an event given a condition. Try this … Randy recorded information about whether he finished the hole in par or better and whether he needed 2 or more putts to finish the hole. 1. What is the probability that Randy scored par or better? What is the probability that Randy took 1 or fewer putts, or scored par or better? 2.

  3. Aim: Find the probability of an event given a condition. Given the Rays won what is the probability that a fan at that game received a free taco? Given that the Rays won, P( |win) = ≈ 26.5% P(taco|win) =

  4. Aim: Find the probability of an event given a condition. Given a free taco what is the probability that the Rays won the game? Given that free tacos were given away, P( |taco) = ≈ 86.7% P(win|taco) =

  5. Aim: Find the probability of an event given a condition. Independence If getting a taco and winning a game are independent, then getting a taco has nothing to do with winning (or loosing) a game. P(taco) =P(taco|win) = P(taco|loss) ≈ 18.5% P(taco) = P(taco|win) = ≈ 26.5% P(taco|loss) = ≈ 6.3% Getting a taco and winning a game are not independent events.

  6. Aim: Find the probability of an event given a condition. Practice Randy is back … What is the probability that Randy scored par or better, given that he took 1 or fewer putts? 1. What is the probability that Randy scored par or better, given that he took 2 or more putts? 2. Are the events ‘scored par or better’ and ‘took 1 or fewer putts’ independent? Explain. 3. No; the answers to #1 & #2 are not the same. Randy is more likely to score par or better if he took one or fewer putts.

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