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Unformatted text preview: ENGRD2700 Basic Engineering Probability and Statistics Fall 2011 Recitation 3: 912 September 2011 If not already done, please sign up (after recitation) for an ORIE computer account at intranet.orie.cornell.edu . 1. In 5–card poker, a straight consists of five cards with adjacent denominations (e.g. 9 ♣ –10 ♥ –J ♥ – Q ♠ – K ♣ ). Aces can be high or low, i.e. we could have 10–J–Q–K–A or A–2–3–4–5 but not Q–K–A–2–3. (a) What is the probability that a 5–card hand will be a straight with high card 10? (b) What is the probability that a hand will be a straight? (c) What is the probability that a hand will be a straight flush (a straight with all the cards in the same suit)? 2. A person can have any number of phobias. We consider three phobias in particular. Let A 1 denote the event that a person has Phobia 1 (Apocolocynposis—fear of being turned into a pumpkin). Let A 2 denote the event that a person has Phobia 2 (Anatidaephobia—fear of being watched by ducks). Let A 3 denote the event that a person has Phobia 3 (Hippolarconinsomiaphobia—fear of one’s pyjamas...
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