Blake Flynn
06/17/2023 · Middle School
The probabilities of four events are shown. List them in order from least \( t \) greatest. \[ \frac{6}{13} \quad 3 \text { out of } 9 \]
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Tutor-Verified Answer
Step-by-step Solution
To compare the probabilities, we need to express them in a common format, typically as decimals or fractions.
1. The first probability is \( \frac{6}{13} \).
2. The second probability is \( 3 \text{ out of } 9 \), which can be expressed as a fraction:
\[
\frac{3}{9} = \frac{1}{3}
\]
Now, we will convert both probabilities to decimal form for easier comparison:
1. For \( \frac{6}{13} \):
\[
\frac{6}{13} \approx 0.4615
\]
2. For \( \frac{1}{3} \):
\[
\frac{1}{3} \approx 0.3333
\]
Now we can compare the two decimal values:
- \( 0.3333 \) (which is \( \frac{1}{3} \)) is less than \( 0.4615 \) (which is \( \frac{6}{13} \)).
Thus, in order from least to greatest, the probabilities are:
\[
\frac{1}{3} \quad \text{and} \quad \frac{6}{13}
\]
So the final answer is:
\[
\frac{1}{3}, \frac{6}{13}
\]
Quick Answer
\[
\frac{1}{3}, \frac{6}{13}
\]
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