if the probability of an event is $\frac{2}{7}$, what must be the probability of its complement?\n$\frac{1}{7…

if the probability of an event is $\frac{2}{7}$, what must be the probability of its complement?\n$\frac{1}{7}$\n$\frac{2}{7}$\n$\frac{4}{7}$\n$\frac{5}{7}$

if the probability of an event is $\frac{2}{7}$, what must be the probability of its complement?\n$\frac{1}{7}$\n$\frac{2}{7}$\n$\frac{4}{7}$\n$\frac{5}{7}$

Answer

Answer:

D. $\frac{5}{7}$

Explanation:

Step1: Recall probability - complement rule

The sum of the probability of an event $P(E)$ and its complement $P(\overline{E})$ is 1, i.e., $P(E)+P(\overline{E}) = 1$.

Step2: Identify given probability

We are given that $P(E)=\frac{2}{7}$.

Step3: Solve for the complement probability

Substitute $P(E)$ into the formula: $P(\overline{E})=1 - P(E)$. So $P(\overline{E})=1-\frac{2}{7}=\frac{7 - 2}{7}=\frac{5}{7}$.