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Count your tricks or losers.  There are at least 2 ways make the contract. 
Find the ways AND decide in which order the ways should be tried

Chance
Chance of success
3 - 3 split of 6 cards
33%
4 - 2 split of 6 cards
46%
3 - 2 split of 5 cards
68%
Finesse (no outside knowledge
50%
Dropping the Queen with only 4 cards out
52%


A 9 4 Contract
3 NT

8 6
Opening
Lead
5
J 6 4 3



A K 5 3
Hint:  I see 8 tricks. 
Where  can we get
the 9th?





Spades could break 3-3 (33%)
  K 7 5 2


Clubs could break 3-3 (33%)
  A Q


Diamonds could break 3-2 (68%) AND the Q diamonds might be doubleton OR West might have  Q Diamonds (50%)
  A K 8 2


  8 6 4


Win the heart lead and then take the A K of diamonds.  If the Q diamonds does not fal, lead low diamond toward the J in dummy.  If either West has the Q or diamonds are 3-2 we are home free.  That line is about a 90% combined.