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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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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