If I had had enough money at that time, I probably would've bought a smart phone.
Vs.
If I had had enough money at that time, I might've bought a smart phone.
Do the both mean the same?
No, probably shows a lot of likelihood. might just shows possibility.
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anonymousDo the both mean the same?
No. 'might' is indefinite; it means 'maybe'. 'would' is definite; it does not suggest 'maybe'. However, the addition of 'probably' with 'would' weakens the statement so that it's almost like 'might', but still more likely (=probable) than 'might'.
CJ