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 This is called the "Deep Finesse".  You are finessing against TWO  cards, instead of just one.

 

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        HOLDING OF A J 9

 The dummy holds A J 9 4 of a suit.

Your cards are 8 7 3.

You need 2 tricks from the suit, with entries back to your hand.

The percentage play is to lead towards the table, and to insert the 9 should LHO play small. You are hoping for LHO to hold an honour together with the 10. If the 9 forces an honour, you will return to your hand and finesse LHO for the other honour.

 

If LHO plays an honour card in the first instance,you win with the ace and then return to your hand. Now lead again towards the J. You are hoping that LHO had both honours.

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