College

Match each description to its probability.

**Probabilities:**

- [tex]\frac{9}{60}[/tex]
- [tex]\frac{22}{40}[/tex]
- [tex]\frac{18}{18}[/tex]
- [tex]\frac{27}{30}[/tex]

**Descriptions:**

- [tex]\square[/tex] unlikely
- [tex]\square[/tex] about as likely as not
- [tex]\square[/tex] likely
- [tex]\square[/tex] certain

Answer :

Sure! Let's match each probability to its description based on how likely the event is.

We have the following probabilities:

1. [tex]\(\frac{9}{60}\)[/tex]
2. [tex]\(\frac{22}{40}\)[/tex]
3. [tex]\(\frac{18}{18}\)[/tex]
4. [tex]\(\frac{27}{30}\)[/tex]

Now, let’s translate these fractions into decimal format to better understand their values:

1. [tex]\(\frac{9}{60}\)[/tex] simplifies to 0.15. This is a low probability, so we describe this as "unlikely."

2. [tex]\(\frac{22}{40}\)[/tex] simplifies to 0.55. This is a probability that is somewhat in the middle, so it’s "about as likely as not."

3. [tex]\(\frac{18}{18}\)[/tex] simplifies to 1.0. This is a probability of certainty, meaning the event will definitely happen, so we describe this as "certain."

4. [tex]\(\frac{27}{30}\)[/tex] simplifies to 0.9. This is a high probability, so we describe this as "likely."

Let's map each probability to its appropriate description:

- [tex]\(\frac{9}{60}\)[/tex] is "unlikely".
- [tex]\(\frac{22}{40}\)[/tex] is "about as likely as not".
- [tex]\(\frac{18}{18}\)[/tex] is "certain".
- [tex]\(\frac{27}{30}\)[/tex] is "likely".

These mappings help us understand how likely each event is to occur based on its probability.