Is and Arabian Thorough Bred mix a good begginer horse?

Varies greatly by individual horse. In general, both breeds in the mix run "hot" and aren't often suitable for beginning riders. But that isn't to say that some might not be fine for a beginner. Since you are a beginner, have someone knowledgeable about horses and familiar with your experience level evaluate the horse for suitability before purchasing it.. Also make sure you have a thorough vet check, done by a vet of your choosing (not the current owners' vet), before agreeing to buy.

Yes,they are excellent horses.

for all types fo owners,new;old..beginner;etc.

It depends on how much you bond

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