Total Bull.
Its one thing to not know something and ask, its another to just brain fart.
Tamil Hindus flock to Saudi Arabia. There are entire companies employing just Tamils. This is partly because they accept lower wages which they then supplement with part-time/weekend jobs. There are areas in Saudi Arabia that exclusively cater to Tamil population with affordable restaurants and apartments. Not to mention, they are villages in Tamil Nadu, Kerala and Karnataka where overwhelming majority of the men are living abroad in Middle East. And no these are not Tamil Muslims, they're Tamil Hindus.
Breakdown of Tamils in KSA: goo.gl/Dh7J73
73% Hindus
12% Christians
2% Evangelicals
Even if you take the low end of 160,000 figure, they are 60,000 Tamils there who likely aren't Muslims making your "88% chance" a total bull.
5,000 Tamil 'Illegals' deported from KSA
youtu.be/KmnyLvKUE1E
Not to mention, everywhere Tamils go they quickly form a "Sangam"
Riyadh Tamil Sangam: goo.gl/AB5H8d
Jeddah Tamil Sangam: goo.gl/oGPDlD
During my time in Saudi Arabia, I met very few Indian Muslims, mostly Indian Hindus. I chalk it down to the fact that Indian Muslims are not very well off in India so they can't scrape together the funds to get a KSA work visa.