Correct. However, as you know they're far from independent. If game 11 is a loss (50% chance) then there's no way for the set of games ranging from 2 to 11 to be the start of an 11-game streak. That dosen't sound like it will work.
ACG
Hi!
The Red Sox just finished an 11-game winning streak, which made me wonder. Do most teams experience winning streaks this long over the course of a season? What is the expected value of the length of the longest winning streak for a .500 team over the course of a season?
In...
Changing the time at which the driver leaves may not do much either. Remember that all of the other drivers are logical. If they all realize that the traffic at 8:30 jams up, they'll figure to go at different times. So they'll all go at 8:15 and the traffic will jam up at 8:15 instead :)...
Hi! I've been dealing with a situation like this for a couple of years now and it made me start thinking...
A city is populated entirely by infinitely logical drivers (I know, it's hypothetical :) .
This city has two major N-lane highways (N > 1) which intersect each other at a...
Hi!
That's cool -- I'd wondered about that myself :)
However, that won't help here: the sum of four objects case would have to be a^5+b^5+c^5+d^5 = e^5.
ACG
Hi! I assume you all know Fermat's last theorem. Well, has anyone considered the following extension to it? Assuming we're just using integers:
We know that x1^n + x2^n = y^n has no solution for n > 2. However, what about this?
For which values of k does x1^n+x2^n+...+xk^n = z^n...
Hi! I was thinking about primes and have a bit of a question. I apologize if this is too easy or obvious -- I haven't thought much about it.
Take two relatively prime numbers, P and Q. P < Q, and P is not prime.
How many pairs (P,Q) are there so that ALL positive integers which are...
Hi! I've got a couple of questions about Sudoku.
1. How many possible Sudoku boards are there? That is, a 3x3 square of 3x3 blocks where (a) each block has the numbers 1-9 exactly once, and (b) each row and column of the resulting 9x9 matrix has the numbers 1-9 exactly once?
2. I'm...