HW1 due Wednesday, May 12
6.1: 1,3,7,11,15,17,21,35,41,51,53,
6.2: 3,5,7,11,17,25,33,42
HW2 due Wednesday, May 19
6.3: 4,7,11,18,21,37,38,42
6.4: 2,7,13,16,29,37
6.5: 1,2,3,7,11,14
HW3 due Wednesday, May 26
6.5: 15,20,22,51,61
6.6: 5,7,8
7.1: 5,7,8,14,17,18,21,33,36,42
HW4 due Wednesday, June 2 (extension: Friday, June 4)
A) 7.2: 1,2,3,5,7,9,18,24,27,31
B) Find a 7-letter word with 4 of the same letter and 3 other distinct letters
which does NOT require a blank to be formed with scrabble tiles. (use 7all.txt)
Form the alphabetized string from this word, and then also find all the
alphabetized strings including 1 or 2 blanks associated to this string.
Finally, find the probability that a random draw of 7 tiles from the bag of 100
results in the ability to spell this word.
C) Find a 7-letter word with 4 of the same letter and 3 other distinct letters
which DOES require a blank to be formed with scrabble tiles. (use 7all.txt)
Form the alphabetized string from this word, and then also find all the
alphabetized strings including 1 or 2 blanks associated to this string.
Finally, find the probability that a random draw of 7 tiles from the bag of 100
results in the ability to spell this word.
HW 5 due Wednesday, June 16
A) 7.4: 2,3,5,8,10,17,19,27,28,30
B) Find a 7-letter word with 3 of the same letter, 2 of a second letter, and 2 of a third letter,
which does NOT require a blank to be formed with scrabble tiles. (use 7all.txt)
Form the alphabetized string from this word, and then also find all the
alphabetized strings including 1 or 2 blanks associated to this string.
Finally, find the probability that a random draw of 7 tiles from the bag of 100
results in the ability to spell this word.
C) Find a 7-letter word with 3 of the same letter, 2 of a second letter, and 2 of a third letter,
which DOES require a blank to be formed with scrabble tiles. (use 7all.txt)
Form the alphabetized string from this word, and then also find all the
alphabetized strings including 1 or 2 blanks associated to this string.
Finally, find the probability that a random draw of 7 tiles from the bag of 100
results in the ability to spell this word.
D) For the domineering game played on a 2x5 rectangle (2 rows, 5 columns) determine the following:
i) Draw the game tree and label the probability for each branch.
ii) Who has a winning strategy playing first (Left or Right)? Same question for playing second.
iii) For random play determine P(Lwpf), P(Rwps), P(Rwpf), and P(Lwps).