STAT 410 Midterm: STAT410 DOLGOPYAT-D FALL2007 0101 MID EXAM

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Note if you can not solve say part (a) for one of the problems you still get credit for other parts. Answers like let x be the answer for part (a) then the answer for part (b) is 4!x 5! are allowed. (1) an elementary school is o ering three language classes: one in. What is the probability that all three numbers are di erent? (b) alice, bob and carol take turns rolling three dice with alice starting, bob being tnxt and carol being the last. The player who rst gets three di erent numbers wins. Find the probability that bob wins. (3) (a) 14 children divide themselves into three teams with two teams having 5 players each and the third team having 4 players. How many di erent divisions are possible? (b) 14 children divide themselves into three teams with two teams having 5 players each and the third team having 4 players.

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