The red-eye problem is most likely to occur in rooms which have low light levels. Try to turn on more room lights, making the room brighter. This will help diminish the size of the subject's pupils, therefore diminishing the possibility of red-eye. If possible, raise the level of the flash above the camera's lense to change the angle of reflection of the flash, which will also lower the possibility of red-eye showing. The red-eye mode in cameras is designed to make the flash blink a few times prior to the exposure being made, with the theory being that those preceding blinks will cause the subject's pupils to temporarily become smaller, diminishing the potential for red-eye reflections from the flash. The common problem is that this delays the actual exposure and the desired image is missed. Perhaps a better solution is to use the 'flash-on-demand' mode, capturing the desired image immediately, perhaps with red-eye which can easily be removed later using a variety of programs currently available.