Most players when given this problem will say take two finesses. 

This is nearly correct, there is, however, a slight wrinkle.

If you finesse the nine and it loses to the queen (say) then you should next cash a high honour in the dummy in case East has QJ doubleton,

then you take the second finesse.

It is not correct to cash a high honour first, which gains if there is a singleton Q or J offside, but loses if both the queen and jack are onside.

Thanks to Alan Mould for this problem.