Question

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n=6, p=0.5, x=5

Answer 1

Binomial experiments are ruled by a very clean formula: if you want k successes performing n experiments with probability of success p, the probability is

$\displaystyle \binom{n}{k}p^k(1-p)^{n-k}$

If you plug your values, you'll get

$\displaystyle \binom{6}{5}0.5^5(0.5)^{1}= \binom{6}{5}(0.5)^6=0.09375$