To determine the probability that a student prefers morning classes given that they are a U.S. citizen, we can apply conditional probability. The general formula for conditional probability is:

$P(A | B) = \frac{P(A \cap B)}{P(B)}$

Where:

• $P(A | B)$ is the probability that event A occurs given that event B has occurred.
• $P(A \cap B)$ is the probability that both events A and B occur.
• $P(B)$ is the probability that event B occurs.

In your case:

• Event A is the student preferring morning classes.
• Event B is the student being a U.S. citizen.

Therefore, the conditional probability that a student prefers morning classes given that they are a U.S. citizen is:

$P(\text{Morning Class} | \text{U.S. Citizen}) = \frac{P(\text{Morning Class} \cap \text{U.S. Citizen})}{P(\text{U.S. Citizen})}$

Information Needed:

To compute this probability, we need:

1. The probability that a student prefers morning classes and is a U.S. citizen ($P(\text{Morning Class} \cap \text{U.S. Citizen})$).
2. The probability that a student is a U.S. citizen ($P(\text{U.S. Citizen})$).

Without this data, we cannot compute the exact conditional probability. If you have any values or additional context, please share them, and I can help calculate it!

Would you like to explore examples or have further clarifications on this?