Q3. - Algebra 1

Question

Choose the word or term that best completes the sentence.

The sum of probabilities of complements equals $\left(0,1\right)$.

Step-by-Step Solution

Answer

The term “1” completes the given sentence.

Step 1. Define the meaning of probability.

The probability is a measure of the likelihood of an event to occur.

Step 2. Define complementary events.

Two events are said to be complementary when one event occurs if and only if the other does not.

Step 3. Complete the given sentence.

It is known, that the sum of the probabilities of two complementary events always equals to 1.

Hence, 

The sum of probabilities of complements equals 1.

Therefore, the term “1” completes the given sentence.