iving a test to a group of students, the grades and gender are summarized below

A	B	C	Total
Male	6	12	4	22
Female	3	5	19	27
Total	9	17	23	49


If one student was chosen at random,

find the probability that the student was female.

To find the probability that a randomly chosen student is female, we need to look at the total number of female students and divide it by the total number of students.

From the table:

- Total number of students = 49
- Total number of female students = 27

Thus, the probability that the student chosen is female is given by:

\[
P(\text{Female}) = \frac{\text{Number of Female Students}}{\text{Total Number of Students}} = \frac{27}{49}
\]

So, the probability that the chosen student is female is:

\[
P(\text{Female}) = \frac{27}{49} \approx 0.551
\]

Would you like further details on this problem, or do you have any additional questions?

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### Related Questions

1. What is the probability that a randomly selected student received a grade of A?
2. What is the probability that a randomly selected student is male?
3. What is the probability that a randomly selected student is female and received a grade of C?
4. What is the probability that a randomly selected student is male and received a grade of B?
5. What is the probability that a randomly selected student received a grade of B, regardless of gender?

### Tip
Always ensure that the total probability calculations add up to 1 to verify accuracy in probability tables.

If one student was chosen at random, find the probability that the student was female.

Discover how to calculate the probability of selecting a female student from a group, using a breakdown of gender and grades in a student population. This problem involves core probability concepts and is suitable for students in Grades 6-8.

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