Think About the Process Suppose you have a bag of 20 marbles and 7 of the marbles are red. If you choose one without​ looking, the probability you choose a red marble is ​P(red​)equals0.35. How can you write this probability as a​ percent? Write this probability as a percent and a fraction. Use a word or phrase to describe this probability.

Question

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Part 1
How do you change the decimal to a​ percent? Select all that apply.
A.
Multiply the decimal by 100 and add a percent symbol.
B.
Write the decimal as a fraction with denominator 100. The numerator is the percent.
C.
Write a percent symbol after the decimal.
D.
Divide the decimal by 100 and add a percent symbol.

Answer 1

To change the decimal probability \( P(\text{red}) = 0.35 \) to a percent, you can follow these steps:

Part 1 - Changing Decimal to Percent:

The correct method to convert a decimal to a percent is:

A. Multiply the decimal by 100 and add a percent symbol.

Here's how it works:

1. Take the decimal: \( 0.35 \)
2. Multiply by 100: \( 0.35 \times 100 = 35 \)
3. Add the percent symbol: \( 35% \)

Part 2 - Expressing the Probability

Thus:

• The probability \( P(\text{red}) = 0.35 \) as a percent is \( 35% \).
• As a fraction, you can express \( 0.35 \) as \( \frac{35}{100} \), which can be simplified to \( \frac{7}{20} \).

Describing the Probability

You can describe this probability as "the chance of selecting a red marble from the bag." Alternatively, you could use phrases like "the likelihood of drawing a red marble" or simply "35% probability of selecting a red marble."