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The probability of choosing a penny from the 1980s from the bag of pennies without looking is [tex]$\frac{3}{40}$[/tex]. Which term best describes this probability?

A. impossible
B. unlikely
C. likely
D. certain


Sagot :

To determine the term that best describes the probability of choosing a penny from the 1980s from the bag, we need to follow these steps:

1. Calculate the Probability:
Given that the probability of choosing a penny from the 1980s is [tex]\(\frac{3}{40}\)[/tex].

[tex]\[ \text{Probability} = \frac{3}{40} = 0.075 \][/tex]

2. Define the Possible Probability Terms:
- Impossible: This term is used when the probability is 0. In other words, an event that cannot happen has a probability of 0.
- Unlikely: This term typically describes a probability that is low (generally considered to be less than or equal to 0.25).
- Likely: This term is used when the probability is moderate to high (typically greater than 0.25 and up to 0.75).
- Certain: This term is used when the probability is 1, meaning the event is sure to happen.

3. Compare the Calculated Probability:
- The calculated probability [tex]\(0.075\)[/tex] is greater than 0 and less than 0.25.

- Since [tex]\(0.075\)[/tex] is within the range that defines an unlikely event (typically [tex]\(0 < \text{Probability} \leq 0.25\)[/tex]), we classify this probability as "unlikely".

Therefore, the term that best describes the probability of choosing a penny from the 1980s from the bag is:

[tex]\[ \boxed{\text{unlikely}} \][/tex]