I make it six equally likely ways. You omitted ACxSE and ACxES. This reduces
the value of hitting the 3600 coin bonus by one-third of your calculated
$2.50, to about $1.67. Same answer to the original question--two pair is best by
even more than you indicated.
Brian
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In a message dated 10/16/2007 9:22:37 PM Pacific Daylight Time,
bob.dancer@compdance.com writes:
The four equally-likely ways you can get the four aces positionwise are
ACESx, ACExS, ACSEx, and ACSxE --- where the x refers to the non-ace.
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