Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is ​P(blue​)equals0.35. Write this probability as a percent and a fraction. Use a word or phrase to describe this probability.

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Part 1
​P(blue​)equals
  
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1 answer

To convert the probability \( P(\text{blue}) = 0.35 \) into a percent, you multiply by 100:

\[ P(\text{blue}) = 0.35 \times 100 = 35% \]

Now, to express this probability as a fraction, you can write 0.35 as:

\[ P(\text{blue}) = \frac{35}{100} \]

This fraction can be simplified by dividing both the numerator and the denominator by 5:

\[ P(\text{blue}) = \frac{7}{20} \]

So, to summarize:

  • \( P(\text{blue}) = 35% \)
  • As a fraction, \( P(\text{blue}) = \frac{7}{20} \)

A word or phrase to describe this probability could be "moderate likelihood," since it's slightly more than one-third.