I studied that particular problem in a statistics course a few years ago. A guy actually set up a program to run the odds a thousand times, and it confirmed the probabilities. Hard to grasp for most people.
Most versions of Excel are powerful enough to simulate this problem, provided you set forumla options at "Manual calculation" and check the "Enable iterative calculation" check box. I'd be happy whip up a simulation if anybody wanted to experiment with it.
Here is a logic "game" you all might enjoy. There are four such games on the LSAT, and a test-taker has approximately 8.5 minutes per game (not question) to answer all the questions. :)
This game is actually one of the easier ones, so have fun!
A school teacher must schedule seven sessions, which are abbreviated M, N, O, P, S, T, and U, during a day. Seven different consecutive time periods are available for the sessions, and are numbered one through seven in the order that they occur. Only one session can be schedules for each period. The assignment of the sessions to the periods is subject to the following restrictions:
M and O must occupy consecutive periods.
M must be scheduled for an earlier period than U.
O must be scheduled for a later period than S.
If S does not occupy the fourth period, then P must occupy the fourth period.
U and T cannot occupy consecutively numbered periods.
1.Which of the following could be a possible list of the sessions in the order that they are scheduled during the day?
2. If session M is assigned to the third period, then which of the following must be true?
(A) N is assigned to the sixth period.
(B) O is assigned to the first period.
(C) S is assigned to the fourth period.
(D) T is assigned to the fifth period.
(E) U is assigned to the seventh period.
3. Which of the following could be true?
(A) M is assigned to the first period.
(B) O is assigned to the fifth period.
(C) S is assigned to the seventh period.
(D) T is assigned to the sixth period.
(E) U is assigned to the third period.
4. If N is assigned to the third period, then each of the following could be true EXCEPT:
(A) M is assigned to the fifth period.
(B) O is assigned to the sixth period.
(C) P is assigned to the fourth period.
(D) T is assigned to the first period.
(E) U is assigned to the sixth period.
5. If T is assigned to the seventh period, then which of the following must be assigned to the fifth period?
Too bad life isn't logical, exclusively ;)