» Bernoulli Formula

Bernoulli's formula gives the probability of exactly k successes in n independent trials.

Bernoulli formula

$$P_{n,k}=C_{n,k}\cdot p^{k}\cdot q^{n-k}$$


where,

nβ€” number of trials;
kβ€” number of successes;
pβ€” probability of success in one trial;
qβ€” probability of failure (q=1βˆ’p);
Cn,kβ€” number of combinations.

See also:

Bernoulli Formula FAQ

What is Bernoulli's formula?

It gives the probability of exactly k successes in n independent trials.

What do p and q represent?

p is the probability of success and q is the probability of failure in one trial.