What are the probabilities of receiving a merit and athletic scholarship?

To analyze the probabilities regarding the merit scholarship (M) and athletic scholarship (A), we know the following:

  • The probability of receiving an athletic scholarship is P(A) = 0.18.

However, the probability of receiving a merit scholarship is not provided in your question. Additionally, to compute the probability of receiving both scholarships, we would also need information about the probability of receiving a merit scholarship alone, P(M), and whether these events are independent or dependent.

If the events are independent, the combined probability of receiving both scholarships would be:

P(M and A) = P(M) * P(A)

If they are dependent, you would need the specific relationship between the two probabilities to determine the combined probability accurately. Without this additional information, we can’t determine the exact probabilities. Please provide more context or specific numbers for a clearer analysis.

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