Q4. - Algebra 1

Question

Choose the word or term that best completes the sentence.

Randomly drawing a marble from a jar and then drawing another marble are dependent events if the marbles (are, are not) replaced.

Step-by-Step Solution

Answer

The word “are not” completes the given sentence.

Step 1. Define independent event.

Two events are said to be independent events if the outcome of one event does not affect the outcome of the other.

Step 2. Define dependent event.

Two events are said to be dependent events if the outcome of one event affects the outcome of the other.

Step 3. Complete the given sentence.

When the marbles are not replaced then, the drawing of marbles is a dependent event.

Hence, 

Randomly drawing a marble from a jar and then drawing another marble are dependent events if the marbles are not replaced.

 

Therefore, the word “are not” completes the given sentence.