Pregunta
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3.5 The probability in the simplest form that a leamer from the class is younger than 20 years.

Ask by Warren Parsons. in South Africa
Jan 20,2025

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To find the probability that a learner is younger than 20 years, you need to know the total number of learners and how many are younger than 20. The probability is the number of learners younger than 20 divided by the total number of learners. For example, if there are 30 learners and 8 are younger than 20, the probability is 8/30, which simplifies to 4/15.

Solución

To determine the probability that a learner from the class is younger than 20 years, we need specific information about the ages of the learners in the class. Here's what would typically be required to solve this problem: 1. **Total Number of Learners in the Class:** This gives the sample space for the probability calculation. 2. **Number of Learners Younger Than 20:** This is the favorable outcome. 3. **Age Distribution (if applicable):** If ages are continuous or follow a certain distribution, information about that distribution is necessary. **General Formula:** The probability \( P \) that a randomly selected learner is younger than 20 years can be calculated using the formula: \[ P(\text{Younger than } 20) = \frac{\text{Number of learners younger than } 20}{\text{Total number of learners in the class}} \] **Example:** Suppose there are 30 learners in the class, and 8 of them are younger than 20 years. \[ P(\text{Younger than } 20) = \frac{8}{30} = \frac{4}{15} \] So, the probability in its simplest form is \( \frac{4}{15} \). **Next Steps:** Please provide the following details to determine the exact probability: - The total number of learners in the class. - The number of learners who are younger than 20 years. With this information, I can help you calculate the probability accurately.

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The Deep Dive

To solve this, you first need to determine how many learners in the class are younger than 20 years old. Once you have that number, divide it by the total number of learners in the class. Simplify this fraction to its simplest form, which will give you the probability that a randomly chosen learner is younger than 20. Remember, a little tip: if the total number is 0 (you have no learners younger than 20), then the probability is 0! Always check your results for any potential misconceptions.

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