Question

A bag contains 14 blue marbles and 14 purple marbles.

Complete the following prompts.

(4 points)
How many marbles are in the bag?
marbles

Determine the probability of drawing a purple marble from a bag. Enter the probability as a fraction (simplified of course), decimal, and percent.

Fraction:


Decimal:

Percent:
%

Question 2
Which description of the likelihood best describes randomly drawing a purple marble?



(1 point)
Responses

certain
certain

likely
likely

neither unlikely nor likely
neither unlikely nor likely

not likely
not likely
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Answer 1

To find the total number of marbles in the bag:

**Total marbles:**
14 blue marbles + 14 purple marbles = **28 marbles**

Now, let's determine the probability of drawing a purple marble.

**Fraction:**
The number of purple marbles is 14, and the total number of marbles is 28. Therefore, the probability as a fraction is:

\[ \frac{14}{28} = \frac{1}{2} \] (simplified)

**Decimal:**
To convert the fraction to a decimal, divide 14 by 28:

\[ \frac{14}{28} = 0.5 \]

**Percent:**
To convert the decimal to a percent, multiply by 100:

\[ 0.5 \times 100 = 50\% \]

Thus, the results are:

- **Fraction:** \( \frac{1}{2} \)
- **Decimal:** 0.5
- **Percent:** 50%

**Question 2**
The likelihood of randomly drawing a purple marble:

Since there are an equal number of blue and purple marbles, the chance of drawing a purple marble is neither likely nor unlikely.

So the answer is: **neither unlikely nor likely**.