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This problem involves conditional probability. The scenario given is:

- The probability that a student drops out is \( P(\text{Dropout}) = 0.03 \).
- The probability that a dropout gets a GED is \( P(\text{GED | Dropout}) = 0.28 \).

We are asked to find the probability that a randomly selected student gets a GED, which can be calculated using the formula:

\[
P(\text{GED}) = P(\text{Dropout}) \times P(\text{GED | Dropout})
\]

Now, let's calculate this probability:

\[
P(\text{GED}) = 0.03 \times 0.28
\]

I will compute this value.The probability that a randomly selected student gets a GED is \( 0.0084 \), or 0.84%.

Would you like any additional details or clarification?

Here are some related questions you might find helpful:
1. How do conditional probabilities differ from independent probabilities?
2. What is the probability that a student does *not* get a GED in this scenario?
3. How would the probability change if the dropout rate increased?
4. What if the probability of getting a GED after dropping out decreased to 0.15? How would that affect the overall probability?
5. How do we compute the complement of these probabilities?

**Tip:** Always double-check whether probabilities are conditional, joint, or independent to use the right formula!

In a certain high school, the probability that a student drops out is 0.03, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.28. What is the probability that a randomly selected student gets a GED?

Learn how to calculate the probability of a student getting a GED using conditional probability. The problem involves the dropout rate of 3% and the probability of receiving a GED after dropping out, which is 28%.

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