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9, what if declarer has Jxxx?

Although you'll block the suit leading low if declarer has Jxx, and you need to run partner's 5 heart tricks before letting them in.

Too late, the gods of bridge already blocked the suit in that case.

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We will not take the first five tricks in heart.

 

So we need one more trick and 4 heart tricks. When we hold ourself to 3 heart tricks by continuing the suit, we need two outside tricks.

 

I switch to a diamond.

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If declarer is ax jxxx qx kqxxx pd is toast if we play a heart at t2

That's true, though the same hand without Q would be more likely given the initial pass. I hadn't noticed that possibility.

 

One the actual hand, partner had A and K (plus some minor-suit queen presumably - I've lost the hand records). There's a danger in playing a second heart even opposite this. Partner thinks you have the jack and declarer has the ace. If you continue with 10, partner will expect you to have QJ10(x); if you continue with 9 he will think you have QJ109. In either case he is quite likely to play low, trying to avoid blocking the suit, to keep communications fluid, or just out of habit.

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