All non-vulnerable, in a robot tournament, my partner (North) opens 2H and this gets passed out:
Do you agree with my pass? The 2H at equal vulnerability ostensibly promises to go down 3. I can see that I cover 3 of partner's losers, so I should probably bid 4H.
East leads the 10 of diamonds. I cover and West plays the Ace of diamonds and returns a spade. East cashes the AQ of spades and returns a diamond to the 9, queen and king. At that point, I lead the Queen of hearts and East covers. These are the cards that have gone so far:
Now what? I lead the 8 of hearts. West plays low. Finesse or not? Think about it before reading further.
East and West are good defenders, so it is worthwhile to consider their play to the hearts. With 3 hearts to the King, East would never cover. (well, perhaps if he had KTx, he would cover because it makes no difference). Ergo, East started with 1 or 2 hearts. If East had King singleton, West will always get a trick. So, the only case to consider is that East started 2 hearts.
If that is the case, West now has 2 hearts and East now has one. The odds are 2:1 that West has the 10 of hearts. Take the finesse.
At the table, I didn't bid 4H, and I didn't take 10 tricks. The full hand is here (click Next to see the play).