3

Part of 2013 CHMMC (Fall)

Problems(2)

2013 Fall Team #3

Source:

p_n

be the product of the

n

1

x > 4

f(x) = p_1 - p_2 + p_3 - p_4 + ... + (-1)^{x+1}p_x

f(2010)

2013 CHMMC Tiebreaker 3 - two fair standard six-sided dice

Source:

Bill plays a game in which he rolls two fair standard six-sided dice with sides labeled one through six. He wins if the number on one of the dice is three times the number on the other die. If Bill plays this game three times, compute the probability that he wins at least once.

combinatoricsCHMMC