If 30 of adults have a mental illness what is the probabilit

If 30% of adults have a mental illness, what is the probability at least one of six randomly selected adults have a mental illness? Please show me the steps to solve.

Solution

probability that adults having mental illness =0.3 ,q=1-0.3 =0.7

Applying binomial distribution

probability that atleast one of six randomly selected adults have a mental illness =P(X>=1) =1-P(X=0)

=1-[6C0x0.3⁰x0.7⁶] = 0.88