After giving a test to a group of students, below are the summary of grades by gender.

A	B	C	Total
Male	3	8	10	21
Female	12	2	19	33
Total	15	10	29	54

If a student is randomly chosen, find the probability that the student did not earn an C. Round your answer to four decimal places.

We are asked to find the probability that a randomly chosen student did **not** earn a grade of C. To do this, we'll first find the number of students who did not earn a C and then divide it by the total number of students.

### Step 1: Total number of students
The total number of students is given as:

\[
\text{Total students} = 54
\]

### Step 2: Total number of students who earned a C
From the table, the number of students who earned a C is 29.

### Step 3: Total number of students who did not earn a C
This can be found by subtracting the number of students who earned a C from the total number of students:

\[
\text{Students who did not earn a C} = \text{Total students} - \text{Students who earned a C}
\]
\[
\text{Students who did not earn a C} = 54 - 29 = 25
\]

### Step 4: Probability calculation
The probability that a randomly chosen student did not earn a C is the ratio of students who did not earn a C to the total number of students:

\[
P(\text{not C}) = \frac{25}{54}
\]

Now, we calculate and round to four decimal places:

\[
P(\text{not C}) = 0.462963
\]

Rounded to four decimal places:

\[
P(\text{not C}) \approx 0.4630
\]

Thus, the probability that a student did not earn a C is approximately **0.4630**.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What is the probability that a randomly chosen male student earned a grade of B?
2. What is the probability that a female student earned a grade of A?
3. If two students are randomly chosen, what is the probability that both earned a grade of C?
4. What is the probability that a randomly chosen student is male and earned a grade of B?
5. What is the probability that a randomly chosen student is female and did not earn a C?

**Tip:** When dealing with probability problems, always carefully examine the total possible outcomes before calculating probabilities.

After giving a test to a group of students, below is the summary of grades by gender. If a student is randomly chosen, find the probability that the student did not earn a C. Round your answer to four decimal places.

Learn how to calculate the probability that a randomly chosen student did not earn a grade of C from a group of 54 students. The problem uses basic probability rules and statistical analysis, suitable for students in Grades 9-11.

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