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want a math workout?

you have ax,k109xx,xxxx,ax and your partner shows 2272 or 6 diamonds and 322 with an unspecified 3 card suit you have all the aces and black kings and the q of diamonds---you have no way of finding out whether your partner has 3rd round heart control--what are the chances that he has 3 hearts? the opponents are silent... helping hint---get a calculator

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