A test was given to a group of students. The grades and gender are summarized below

A	B	C	Total
Male	4	16	18	38
Female	13	14	6	33
Total	17	30	24	71


If one student is chosen at random from those who took the test,

Find the probability that the student got a 'C' GIVEN they are male.

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.

A test was given to a group of students. The grades and gender are summarized below:

A B C Total
Male 4 16 18 38
Female 13 14 6 33
Total 17 30 24 71

If one student is chosen at random from those who took the test, find the probability that the student got a 'C' GIVEN they are male.

Learn how to find the probability that a student got a 'C' given they are male. This probability problem uses a gender-graded table with step-by-step solution, covering key concepts of conditional probability and probability theory. Ideal for students in Grades 10-12.

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