Question

If the probability of an event is 2/7, what must be the probability of its complement?

Answer 1

Answer:

$\frac{5}{7}$

Step-by-step explanation:

Let

x------->the probability of its complement

we know that

The Complement Rule states that the sum of the probabilities of an event and its complement must equal $1$

so

in this problem

$\frac{2}{7}+x=1$

solve for x

Adds $-\frac{2}{7}$ both sides

$x=1-\frac{2}{7}$

$x=\frac{5}{7}$

Answer 2

The probability of its complement is 5/7

What is the complement of a probability event?

The complement of a probability event is the event that contains all of the universal elements of the event but is not found in the provided event.

From the given information:

• The provided event (x) = 2/7

The complement of an event is mathematically calculated as:

P(C') = 1 - (x)

P(C') = 1 - 2/7

P(C') = 5/7

Learn more about the probability of an event here:

https://brainly.com/question/25839839