White tiger you see is not the white tiger subspecies. White tiger are albino Bengal tigers or Siberian tiger just like human have albinism in all races. So of course they are very rare in natural state. The unusual pigmentation and albinism caused disease will make it a lot harder for white tiger to survive. It is a good thing that they don't show it on TV, which I will explain.
The most import reason I am writing this answer is to raise awareness: NOT to love white tiger. Yes, they look magnificent and beautiful. But it is not natural, another example is Liger, just a special breed to satisfy consumers. And to increase the chance of albino occurrence, breeders do inbreeding.
Because of the inbreeding and resulting genetic defects the Association of Zoos and Aquariums barred member zoos from breeding white tigers, white lions and king cheetahs in a white paper adopted by the board of directors in July 2011. It is noteworthy that the first person to speak out against the displaying of white tigers was William G. Conway, General Director of the New York Zoological Society, which later became known as the Wildlife Conservation Society when he said, "White tigers are freaks. It's not the role of a zoo to show two headed calves and white tigers."
The same gene that causes the white coat causes the optic nerve to be wired to the wrong side of the brain, thus all white tigers are cross eyed, even if their eyes look normal. They also often suffer from club feet, cleft palates, spinal deformities and defective organs.
The white coat is a double recessive gene so most of the cubs born through this inbreeding have normal coloring but they too suffer the same defects and are referred to in the trade as “throw away tigers.” As such, they are often killed at birth because only the white tigers are the big money makers. And because none of these cats are purebred (they are all crosses between Bengal tigers and Siberian tigers), they serve no conservation purpose.