John M. answered • 03/17/18

Tutor

5
(79)
Engineering manager professional, proficient in all levels of Math

I'd like to help you with this problem; however, the wording of the problem is confusing. Here are my questions:

- You wrote "(e.g. 45, 245 or 5446, if k = 1)". Isn't k=2 when the sequence 5446 occurs?
- You wrote "E.g., if k = 2, then each of the sequences 446, 64445 and 465443445 results in

Homer winning." It's not clear why Homer would win. Did you mean that the person (could be either Homer or Marge) who rolls the last 5 or 6 wins? - Is the question asking "What is the probability at
**the start of the game**that Homer will win when K = 0, 1, 2, 3 and 99? - When k=0, the rules of the game imply that no one wins. That is, you need at least one 4 to be rolled before anyone has the opportunity to win. With k=0, it means that a 4 has not occurred. Therefore, the probability of Homer winning (or Marge, for that matter) is zero. Am I missing something?

John S.

03/17/18