Problem Contest – Problem of the Week – March 1, 2004
Rolling the dice: Roll 6 fair dies (as in dice!) all at once. What is the probability that you get exactly three different outcomes showing?
Total number of outcomes = 6^6 = 46656
Some good outcomes: Some bad outcomes:
111123 123444
111223 121134
211223
123123
Submit written solution with justification to John Emerson, Warner 312, before 3:00 on Tuesday, March 9. Or leave them in the Warner mailroom.
Note: Join us at the weekly seminars, usually on Tuesday at 3:00 for refreshments.