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Example Class 1

Example Class 1 - The University of Hong Kong Department of...

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The University of Hong Kong Department of Statistics and Actuarial Sciences STAT1801 Probability and Statistics: Foundations of Actuarial Sciences (10-11) Example Class 1 Tutor: Mr. Ryan H.L. IP Tel. No.: 28591920 Office: Room 515, Meng Wah Complex Consultation hour: WED 3:00pm – 4:00 pm ; THU 2:00pm – 4:00pm. E-mail: [email protected] Example 1 In how many ways can 8 people be seated in a row if (a) There are no restrictions on the seating arrangement; (b) Persons A and B must sit next to each other; (c) There are 4 men and 4 women and no 2 men or 2 women can sit next to each other; (d) There are 5 men and they must sit next to each other; (e) There are 4 married couples and each couple must sit together? Example 2 If five cards are drawn from a well-shuffled deck of 52 standard playing cards, what are the probabilities of getting (a) Straight flush; (b) Full house; (c) Straight; (d) Three of a kind? Example 3 In a certain resident suburb, 60% of all households subscribe to the metropolitan newspaper

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