You Do Need power plug adapter while traveling from Saudi Arabia to Saint Barthélemy.

Here is Why You Need An Adapter

The outlet and plug type used in Saint Barthélemy are C and E and in Saudi Arabia is G. This is how they look like.

Saudi Arabia

In Saudi Arabia, outlets of type G are in use.

Type G

Saint Barthélemy

In Saint Barthélemy, outlets of type C and E are in use.

Type C

Type E