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

Answer 1

To answer your questions:

1.

- **How many marbles are in the bag?**
There are 14 blue marbles and 14 purple marbles, so the total number of marbles is:
\(14 + 14 = 28\)
**28 marbles**

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

Total number of marbles = 28
Number of purple marbles = 14

- **Fraction:**
The probability of drawing a purple marble is:
\(\frac{14}{28} = \frac{1}{2}\) (simplified)

- **Decimal:**
\(\frac{1}{2} = 0.5\)

- **Percent:**
\(0.5 \times 100 = 50\%\)

So:

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

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

The likelihood of drawing a purple marble, given that there are equal numbers of blue and purple marbles, can be best described as:
**likely**.

So, the answer is:
- likely