hw12 sol - Spring-2011 CMSC 250 Homework 12 Due Wed May 4...

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Spring-2011 CMSC 250: Homework 12 Due: Wed May 4, 2011 NOTE: Due AT THE BEGINNING of Recitation! COURSE WEBSITE: http://www.cs.umd.edu/ gasarch/250/S11.html NOTE: In this HW N = { 0 , 1 , 2 , . . . } . In this HW answer can use choose-notation or factorials or powers. That is, the answer can be (say) 100 5 rather than actually give us the number. 1. (0 points) What is your name? Write it clearly. Staple your HW. What is your SECTION NUMBER. ALL STUDENTS: Your FINAL is SATURDAY May 14 4-6 in the BRB 1101. (BioSciences Research). WALK TO IT so that you KNOW WHERE IT IS. (NOTE- HONORS STUDENTS, you final IS in that time, that room. You may read that it is elsewhere but this is NOT TRUE.) 2. (20 points) On the planet Sigma Iota II they use playing cards with ranks { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } and suites {⊕ , , + } . The game they play is called Fizzbin . In this game each player is dealt SIX cards. (a) How many cards are in a deck of cards? (b) A Royal Fizzbin is a hand where you have a 5 , 6 , 7 , 8 , 9 , 10 . What is the probability of getting a Royal Fizzbin? SOLUTION TO 2a 1 30 6 . (c) A FizzFizz is a hand where you have two three-of-a-kinds (e.g. the hand { 1 , 1 , 1+ , 5 , 5 , 5+ } .
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