The following diagrams (courtesy of crescentmoonwatch.org) show the visibility of the new crescent Moon over the first three days of the lunation. The unshaded areas indicate regions from which the Moon cannot be seen. The Moon becomes more easily visible from the regions of increasing colour intensity i.e. the Moon will be seen easily from the regions shown in red. The near vertical blue lines show the age of the Moon at the so-called best time of observation.
The following diagram shows the visibility of the new crescent Moon on August 20 2009.
The second diagram exhibits more shaded regions than the first one. Consequently, a larger fraction of the surface of the Earth will be able to observe the crescent Moon.
The third diagram is almost totally shaded. The majority of the Earth will be able to observe the crescent Moon with ease.