by sheer luck
adv.
tout à fait par hasard
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sheer
(=pure)
[boredom, delight, desperation, madness, stupidity] pur (e) , pur (e) et simple
→ Many of the audience walked out through sheer boredom.
It's sheer greed. C'est de l'avidité pure.
by sheer chance par pur hasard
(=steep)
[cliff, drop, rock face] à pic abrupt (e)
→ ... a sheer rock face.
(=almost transparent)
[fabric, tights] très fin (e)
adv à pic, abruptement
→ The great cliffs drop sheer for over 1400 feet.
Translation English - French Collins Dictionary  

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"Collins English French Electronic Dictionary © HarperCollins Publishers 2005"