Uttar Pradash, Rajasthan and Bihar are subregions of India. It is reported that 94% of Uttar Pradash residents say Hindi is their first language of choice, 89% of Rajasthan residents say Hindi is their first language of choice, and 78% of Bihar residents say Hindi is their first language of choice.   Suppose that 8 residents are randomly sampled from each of these regions (so 3x8 total residents are sampled).  Calculate the probability that they all say Hindi is their first language of choice. Use decimal notation and three decimal place accuracy.

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