Answer:
The answer is 0.0173
Explanation:
The probability that none of the surveyed answered in the affirmative is the probability that all of the surveyed answered negative.
The probability of one person picked and answered negative is

The probability of second person picked and answered negative is

The probability of third person picked and answered negative is

Going like this:
The probability of sixth person picked and answered negative is

Thus
P(all negative) =
=0,0173
This formula can also expressed as
Combination of 6 from 512 ÷ Combination of 6 from 1010