binomial distributions

Question

Find the probability of no successes in six trials of a binomial experiment in which the probaiblity of success is 30%. Round to the nearest tenth of a percent

Answer 1

Your basic formula is _NC_X(p)^X(q)^(N-X)

Where N is the total # of trial

and X = the # of successes

p = probability of success

q = probability of failure (1-p)

So

₆C₀(.3)⁰(.7)⁶ = (1)(1)(.11765) or 11.8%