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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
Ploy
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%




8 5
Contract 3 NT



A 8 7




A J 7 5
Lead: 4



K J 7 3





Sure Tricks


K 6
1

Q J 4
1 We might find the Q doubleton. We can try to drop it if we do that first. The odds are less than 50% but we get to try the 50% finesse later if needed.

K 4 3 2
2 Take the A & K of .  If the Queen falls, smile and collect an over trick.

A Q 6 4
4


We need 1 more trick to make the contract but clearly cannot lose
the lead without losing too many
tricks.  There are 2 finesses but ...


If the Queen does not fall, run the
suit ending in your hand and try the

finesse