From past experience, it is known 90% of one-year-old children can distinguish their mother's voice from the voice of a similar sounding female. A random sample of 20 one-year-olds is given this voice recognition test. Find the probability at least 3 children do not recognize their mother's voice.
subtract the probability that 0, 1, or 2 children don't recognize their mother's voice from 1
\(1 - (0.9)^{20} - (0.1)^1(0.9)^{19} - (0.1)^2(0.9)^{18} \approx \boxed{0.8634}\)