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Answer :
To solve the problem of matching each description to its probability, we'll convert each given fraction to a decimal. This makes it easier to compare the values.
1. Convert each fraction to a decimal:
- [tex]\(\frac{9}{60}\)[/tex]: To convert this fraction to a decimal, divide the numerator (9) by the denominator (60). The result is approximately 0.15.
- [tex]\(\frac{22}{40}\)[/tex]: Divide the numerator (22) by the denominator (40) to convert to a decimal. The result is 0.55.
- [tex]\(\frac{27}{30}\)[/tex]: Divide 27 by 30. The result is 0.9.
- [tex]\(\frac{18}{18}\)[/tex]: Since the numerator and the denominator are the same, 18 divided by 18 equals 1.0.
2. Compare the decimal probabilities:
- 0.15 corresponds to the fraction [tex]\(\frac{9}{60}\)[/tex].
- 0.55 corresponds to the fraction [tex]\(\frac{22}{40}\)[/tex].
- 0.9 corresponds to the fraction [tex]\(\frac{27}{30}\)[/tex].
- 1.0 corresponds to the fraction [tex]\(\frac{18}{18}\)[/tex].
So, by comparing the decimals, we have successfully matched each description to its probability.
1. Convert each fraction to a decimal:
- [tex]\(\frac{9}{60}\)[/tex]: To convert this fraction to a decimal, divide the numerator (9) by the denominator (60). The result is approximately 0.15.
- [tex]\(\frac{22}{40}\)[/tex]: Divide the numerator (22) by the denominator (40) to convert to a decimal. The result is 0.55.
- [tex]\(\frac{27}{30}\)[/tex]: Divide 27 by 30. The result is 0.9.
- [tex]\(\frac{18}{18}\)[/tex]: Since the numerator and the denominator are the same, 18 divided by 18 equals 1.0.
2. Compare the decimal probabilities:
- 0.15 corresponds to the fraction [tex]\(\frac{9}{60}\)[/tex].
- 0.55 corresponds to the fraction [tex]\(\frac{22}{40}\)[/tex].
- 0.9 corresponds to the fraction [tex]\(\frac{27}{30}\)[/tex].
- 1.0 corresponds to the fraction [tex]\(\frac{18}{18}\)[/tex].
So, by comparing the decimals, we have successfully matched each description to its probability.
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