Difference between turn up and turn out

[Farid]

Test No. incompl/advan-3 "Credit Card Holders", question 10

Everything ......... all right in the end.

(a) happened
(b) occurred
(c) turned up
(d) turned out

Test No. incompl/advan-3 "Credit Card Holders", answer 10

Everything turned out all right in the end.

Correct answer: (d) turned out

Your answer was: incorrect
Everything turned up all right in the end.
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I confuse betwen turn up and turn out. Can you shed light on that pleaseis turn up

Farid

[Alan]

Turn out means happen in the end and turn up means appear/arrive unexpectedly.
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English as a Second Language
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[Rich7]

please mind this: turnout: as noun can be the following:

attendance for a particular event or purpose (as to vote in an election) (Example: "The turnout for the rally")

[Mosteque]

Poeple can as well turn out to do sth:

Thousands of ppl turned out to welcome the President
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[Sultano]

if turn out means happen in the end, why don't we choose happen ?