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.

Question

Question content area bottom
Part 1
​P(blue​)equals
  
35​%
Part 2
​P(blue​) as a fraction is
  
enter your response here.
​ (Simplify your​ answer.)

Answer 1

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

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

So, in part 1, we have:

Part 1: \( P(blue) = 35% \)

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To convert 0.35 into a fraction, you can express it as follows:

\[ 0.35 = \frac{35}{100} \]

Next, simplify the fraction. The greatest common divisor of 35 and 100 is 5, so we divide the numerator and the denominator by 5:

\[ \frac{35 \div 5}{100 \div 5} = \frac{7}{20} \]

So, in part 2, we have:

Part 2: \( P(blue) \) as a fraction is \( \frac{7}{20} \).

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You can describe the probability \( P(blue) = 35% \) or \( \frac{7}{20} \) as "fairly likely" since it is greater than 30% but less than 50%.