To find the probability that a randomly chosen student got a 'C' given they are male, we use the concept of conditional probability.

The probability of a student getting a grade 'C' given they are male is calculated as:

$P(\text{C | Male}) = \frac{\text{Number of males who got a 'C'}}{\text{Total number of males}}$

From the table:

• The number of males who got a 'C' is 18.
• The total number of males is 38.

Thus,

$P(\text{C | Male}) = \frac{18}{38} = \frac{9}{19} \approx 0.474$

So, the probability that a student got a 'C' given they are male is approximately 0.474 or 47.4%.

Would you like further clarification or have any questions?

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Here are 5 related questions that expand on this concept:

1. What is the probability that a randomly chosen student is male given they got an 'A'?
2. What is the probability that a student got an 'A' given they are female?
3. What is the probability that a randomly chosen student got a 'B'?
4. What is the probability that a student is female given they got a 'C'?
5. What is the probability that a student chosen at random is male?

Tip: When working with conditional probability, remember that it narrows the "sample space" to only the condition given in the problem.