Bernoulli Trials (Leaving Cert Mathematics): Flashcards

Random experiment with exactly 2 outcomes: success or failure

Success and failure

Probability of success

$q = 1 - p$ (probability of failure)

One trial's outcome doesn't affect another

$p$ remains same for all trials

$\binom{n}{k} p^k q^{n-k}$

$\frac{n!}{k!(n-k)!}$

$q^{n-1} \times p$

$\binom{n-1}{k-1} p^k q^{n-k}$

Binomial distribution

Coin tosses, sports stats, quality control