A bag contains 14 blue marbles and 14 purple marbles.

Question

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.