if the probability of an event is 2/7, what must be the probability of its complement? 1/7 2/7 4/7 5/7
if the probability of an event is 2/7, what must be the probability of its complement? 1/7 2/7 4/7 5/7
Answer
Explanation:
Step1: Record la fórmula de probabilidad complementaria
La probabilidad de un evento $A$ y la de su complemento $A^c$ cumplen $P(A)+P(A^c)=1$.
Step2: Despejar la probabilidad del complemento
Dado $P(A)=\frac{2}{7}$, entonces $P(A^c)=1 - P(A)$. $P(A^c)=1-\frac{2}{7}=\frac{7 - 2}{7}=\frac{5}{7}$.
Answer:
$\frac{5}{7}$